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Simplifying x(2x + -2) = (2x + 4)(x + -9) Reorder the terms: x(-2 + 2x) = (2x + 4)(x + -9) (-2 * x + 2x * x) = (2x + 4)(x + -9) (-2x + 2x2) = (2x + 4)(x + -9) Reorder the terms: -2x + 2x2 = (4 + 2x)(x + -9) Reorder the terms: -2x + 2x2 = (4 + 2x)(-9 + x) Multiply (4 + 2x) * (-9 + x) -2x + 2x2 = (4(-9 + x) + 2x * (-9 + x)) -2x + 2x2 = ((-9 * 4 + x * 4) + 2x * (-9 + x)) -2x + 2x2 = ((-36 + 4x) + 2x * (-9 + x)) -2x + 2x2 = (-36 + 4x + (-9 * 2x + x * 2x)) -2x + 2x2 = (-36 + 4x + (-18x + 2x2)) Combine like terms: 4x + -18x = -14x -2x + 2x2 = (-36 + -14x + 2x2) Add '-2x2' to each side of the equation. -2x + 2x2 + -2x2 = -36 + -14x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -2x + 0 = -36 + -14x + 2x2 + -2x2 -2x = -36 + -14x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -2x = -36 + -14x + 0 -2x = -36 + -14x Solving -2x = -36 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -2x + 14x = -36 + -14x + 14x Combine like terms: -2x + 14x = 12x 12x = -36 + -14x + 14x Combine like terms: -14x + 14x = 0 12x = -36 + 0 12x = -36 Divide each side by '12'. x = -3 Simplifying x = -3
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