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Simplifying (x)(x + 2) = (x + 3)(x + -2) Reorder the terms: x(2 + x) = (x + 3)(x + -2) (2 * x + x * x) = (x + 3)(x + -2) (2x + x2) = (x + 3)(x + -2) Reorder the terms: 2x + x2 = (3 + x)(x + -2) Reorder the terms: 2x + x2 = (3 + x)(-2 + x) Multiply (3 + x) * (-2 + x) 2x + x2 = (3(-2 + x) + x(-2 + x)) 2x + x2 = ((-2 * 3 + x * 3) + x(-2 + x)) 2x + x2 = ((-6 + 3x) + x(-2 + x)) 2x + x2 = (-6 + 3x + (-2 * x + x * x)) 2x + x2 = (-6 + 3x + (-2x + x2)) Combine like terms: 3x + -2x = 1x 2x + x2 = (-6 + 1x + x2) Add '-1x2' to each side of the equation. 2x + x2 + -1x2 = -6 + 1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 2x + 0 = -6 + 1x + x2 + -1x2 2x = -6 + 1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 2x = -6 + 1x + 0 2x = -6 + 1x Solving 2x = -6 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 2x + -1x = -6 + 1x + -1x Combine like terms: 2x + -1x = 1x 1x = -6 + 1x + -1x Combine like terms: 1x + -1x = 0 1x = -6 + 0 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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