X2-3x−4 −4x=x−4x

Question

X2-3x−4 −4x=x−4x

ScanSolve AI Tutor · Accepted Answer

Here are the solutions for the expressions you provided: Part 1: Simplifying the expression x² − 3x − 4 Step 1: Identify the coefficients of the quadratic expression. The expression is in the form ax² + bx + c, where a=1, b=−3, and c=−4. Step 2: Factor the quadratic expression. We need two numbers that multiply to c (which is −4) and add up to b (which is −3). These numbers are −4 and 1. x² − 3x − 4 = (x−4)(x+1) The factored form of the expression is (x−4)(x+1). Part 2: Solving the equation −4x = x − 4x Step 1: Simplify the right side of the equation. Combine the like terms on the right side: −4x = x − 4x; −4x = (1−4)x; −4x = −3x Step 2: Isolate x by moving all terms containing x to one side. Add 3x to both sides of the equation: −4x + 3x = −3x + 3x; −x = 0 Step 3: Solve for x. Multiply both sides by −1: (−1)(−x) = (−1)(0); x = 0; The solution to the equation is x=0.

X2−3x−4 −4x=x−4x

Answers

Step-by-step solution

Part 1· 2 steps

Identify the coefficients of the quadratic expression.

Factor the quadratic expression.

Part 2· 3 steps
$x=0$

Simplify the right side of the equation.

Isolate $x$ by moving all terms containing $x$ to one side.

Solve for $x$ .

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