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Simplifying x2 + -3x = (x + 4)(x + -5) Reorder the terms: -3x + x2 = (x + 4)(x + -5) Reorder the terms: -3x + x2 = (4 + x)(x + -5) Reorder the terms: -3x + x2 = (4 + x)(-5 + x) Multiply (4 + x) * (-5 + x) -3x + x2 = (4(-5 + x) + x(-5 + x)) -3x + x2 = ((-5 * 4 + x * 4) + x(-5 + x)) -3x + x2 = ((-20 + 4x) + x(-5 + x)) -3x + x2 = (-20 + 4x + (-5 * x + x * x)) -3x + x2 = (-20 + 4x + (-5x + x2)) Combine like terms: 4x + -5x = -1x -3x + x2 = (-20 + -1x + x2) Add '-1x2' to each side of the equation. -3x + x2 + -1x2 = -20 + -1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -3x + 0 = -20 + -1x + x2 + -1x2 -3x = -20 + -1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -3x = -20 + -1x + 0 -3x = -20 + -1x Solving -3x = -20 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -3x + x = -20 + -1x + x Combine like terms: -3x + x = -2x -2x = -20 + -1x + x Combine like terms: -1x + x = 0 -2x = -20 + 0 -2x = -20 Divide each side by '-2'. x = 10 Simplifying x = 10
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