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Simplifying (x + -2)(x + -2) = 16 Reorder the terms: (-2 + x)(x + -2) = 16 Reorder the terms: (-2 + x)(-2 + x) = 16 Multiply (-2 + x) * (-2 + x) (-2(-2 + x) + x(-2 + x)) = 16 ((-2 * -2 + x * -2) + x(-2 + x)) = 16 ((4 + -2x) + x(-2 + x)) = 16 (4 + -2x + (-2 * x + x * x)) = 16 (4 + -2x + (-2x + x2)) = 16 Combine like terms: -2x + -2x = -4x (4 + -4x + x2) = 16 Solving 4 + -4x + x2 = 16 Solving for variable 'x'. Reorder the terms: 4 + -16 + -4x + x2 = 16 + -16 Combine like terms: 4 + -16 = -12 -12 + -4x + x2 = 16 + -16 Combine like terms: 16 + -16 = 0 -12 + -4x + x2 = 0 Factor a trinomial. (-2 + -1x)(6 + -1x) = 0Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {-2, 6}
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