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