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