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