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Simplifying x(2x + -4) = (2x + 1)(x + -1) Reorder the terms: x(-4 + 2x) = (2x + 1)(x + -1) (-4 * x + 2x * x) = (2x + 1)(x + -1) (-4x + 2x2) = (2x + 1)(x + -1) Reorder the terms: -4x + 2x2 = (1 + 2x)(x + -1) Reorder the terms: -4x + 2x2 = (1 + 2x)(-1 + x) Multiply (1 + 2x) * (-1 + x) -4x + 2x2 = (1(-1 + x) + 2x * (-1 + x)) -4x + 2x2 = ((-1 * 1 + x * 1) + 2x * (-1 + x)) -4x + 2x2 = ((-1 + 1x) + 2x * (-1 + x)) -4x + 2x2 = (-1 + 1x + (-1 * 2x + x * 2x)) -4x + 2x2 = (-1 + 1x + (-2x + 2x2)) Combine like terms: 1x + -2x = -1x -4x + 2x2 = (-1 + -1x + 2x2) Add '-2x2' to each side of the equation. -4x + 2x2 + -2x2 = -1 + -1x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -4x + 0 = -1 + -1x + 2x2 + -2x2 -4x = -1 + -1x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -4x = -1 + -1x + 0 -4x = -1 + -1x Solving -4x = -1 + -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. -4x + x = -1 + -1x + x Combine like terms: -4x + x = -3x -3x = -1 + -1x + x Combine like terms: -1x + x = 0 -3x = -1 + 0 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333
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