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Simplifying x2 = (x + -2)(x + 6) Reorder the terms: x2 = (-2 + x)(x + 6) Reorder the terms: x2 = (-2 + x)(6 + x) Multiply (-2 + x) * (6 + x) x2 = (-2(6 + x) + x(6 + x)) x2 = ((6 * -2 + x * -2) + x(6 + x)) x2 = ((-12 + -2x) + x(6 + x)) x2 = (-12 + -2x + (6 * x + x * x)) x2 = (-12 + -2x + (6x + x2)) Combine like terms: -2x + 6x = 4x x2 = (-12 + 4x + x2) Add '-1x2' to each side of the equation. x2 + -1x2 = -12 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = -12 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = -12 + 4x + 0 0 = -12 + 4x Solving 0 = -12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 0 + -4x = -12 + 4x + -4x Remove the zero: -4x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 -4x = -12 + 0 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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