f(-2) = 3(-2)^2 - 4(-2) + 7 = 3(4) + 8 + 7 = 12 + 8 + 7 = 27

["Certainly! Here’s a fully optimized SEO article based on your algebra demonstration, focusing on clarity, readability, and search engine friendliness:", "---", "# How to Solve f(–2) = 3(–2)² – 4(–2) + 7 Step-by-Step (With Final Answer)", "Evaluating expressions involving exponents, multiplication, and addition can feel overwhelming at first—but breaking it down step by step makes it simple. Today, we’ll solve a quadratic expression step-by-step and clarify a common algebra concept that helps simplify such calculations efficiently.", "## Understanding the Expression: f(–2) = 3(–2)² – 4(–2) + 7", "When evaluating f(–2), where ( f(x) = 3x^2 – 4x + 7 ), the first step is identifying the exponent part—specifically, (–2)². Exponents mean we multiply the base by itself, so:", "### Step 1: Apply the exponent\n[\n(–2)^2 = (−2) × (−2) = 4\n]", "This means 3(–2)² becomes:\n[\n3 × 4 = 12\n]", "## Step 2: Multiply the linear term\nNext, evaluate –4(–2):\n[\n–4 × (–2) = 8\n]\nThis positive result comes from multiplying two negative numbers—a key rule in algebra.", "## Step 3: Add all components together\nNow substitute all simplified parts back into the original equation:\n[\nf(–2) = 12 + 8 + 7\n]\n[\nf(–2) = 27\n]", "---", "## Final Result: f(–2) = 27", "This step-by-step algebraic breakdown demonstrates how squaring negative numbers yields positive results, how multiplying two negative terms produces a positive term, and how adding constants completes the evaluation.", "---", "## Why This Process Matters for Algebra Learners", "Understanding each operation helps build strong foundational skills. When solving quadratic functions at test time or everyday math challenges, knowing how to handle exponents, signs, and order of operations prevents costly mistakes and builds confidence.", "---", "## Key Takeaways:", "- Square of a negative number: (–x)² = x²\n- Negative × Negative = Positive\n- Combine like terms after simplifying:\n ( 3(4) + 8 + 7 = 12 + 8 + 7 = 27 )\n- Parentheses come first when applying exponents and multiplication", "---", "## Want to Master Algebra? Practice with Practice", "Whether you’re solving functions, simplifying expressions, or graphing quadratics, consistent practice reinforces memory and speed. Use online algebra calculators or work through more problems like:", "[\nf(–3) = 2(–3)^2 + 5(–3) – 1\n]", "Apply the same step-by-step method: square, multiply, distribute, and combine.", "---", "### Optimized Keywords for SEO:\nsolve f(–2) algebra steps, how to evaluate quadratic expressions, evaluate 3(-2)^2, algebra simplification guide, step-by-step algebra problem, negative exponent and multiplication, evaluate polynomial expressions, algebra practice problems, quadratic function evaluation", "---", "Start mastering your algebra today—every expression is just a sequence waiting to be solved!", "---", "Summary:\nBy carefully evaluating ( f(–2) = 3(–2)^2 – 4(–2) + 7 ), we correctly compute ( f(–2) = 27 ) through squaring the negative base, handling signs properly, and combining terms accurately. This structured approach ensures clarity and reinforces key algebraic principles useful in advanced math.", "---", "If you want, I can also generate meta descriptions, headers, or structured schema for better search engine visibility!"]