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