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Simplifying (x)(x) = (x + -2)(x + -2) + -12 Multiply x * x x2 = (x + -2)(x + -2) + -12 Reorder the terms: x2 = (-2 + x)(x + -2) + -12 Reorder the terms: x2 = (-2 + x)(-2 + x) + -12 Multiply (-2 + x) * (-2 + x) x2 = (-2(-2 + x) + x(-2 + x)) + -12 x2 = ((-2 * -2 + x * -2) + x(-2 + x)) + -12 x2 = ((4 + -2x) + x(-2 + x)) + -12 x2 = (4 + -2x + (-2 * x + x * x)) + -12 x2 = (4 + -2x + (-2x + x2)) + -12 Combine like terms: -2x + -2x = -4x x2 = (4 + -4x + x2) + -12 Reorder the terms: x2 = 4 + -12 + -4x + x2 Combine like terms: 4 + -12 = -8 x2 = -8 + -4x + x2 Add '-1x2' to each side of the equation. x2 + -1x2 = -8 + -4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = -8 + -4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = -8 + -4x + 0 0 = -8 + -4x Solving 0 = -8 + -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 = -8 + -4x + 4x Remove the zero: 4x = -8 + -4x + 4x Combine like terms: -4x + 4x = 0 4x = -8 + 0 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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