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