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Simplifying (2x + -1)(x) = (x + 2)(2x + -4) Reorder the terms: (-1 + 2x)(x) = (x + 2)(2x + -4) Reorder the terms for easier multiplication: x(-1 + 2x) = (x + 2)(2x + -4) (-1 * x + 2x * x) = (x + 2)(2x + -4) (-1x + 2x2) = (x + 2)(2x + -4) Reorder the terms: -1x + 2x2 = (2 + x)(2x + -4) Reorder the terms: -1x + 2x2 = (2 + x)(-4 + 2x) Multiply (2 + x) * (-4 + 2x) -1x + 2x2 = (2(-4 + 2x) + x(-4 + 2x)) -1x + 2x2 = ((-4 * 2 + 2x * 2) + x(-4 + 2x)) -1x + 2x2 = ((-8 + 4x) + x(-4 + 2x)) -1x + 2x2 = (-8 + 4x + (-4 * x + 2x * x)) -1x + 2x2 = (-8 + 4x + (-4x + 2x2)) Combine like terms: 4x + -4x = 0 -1x + 2x2 = (-8 + 0 + 2x2) -1x + 2x2 = (-8 + 2x2) Add '-2x2' to each side of the equation. -1x + 2x2 + -2x2 = -8 + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -1x + 0 = -8 + 2x2 + -2x2 -1x = -8 + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -1x = -8 + 0 -1x = -8 Solving -1x = -8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-1'. x = 8 Simplifying x = 8
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