This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here are the solutions for the expressions you provided: Part 1: Simplifying the expression x^2 - 3x - 4 Step 1: Identify the coefficients of the quadratic expression. The expression is in the form ax^2 + 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. x^2 - 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. That's 2 down. 3 left today — send the next one.