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Simplifying (x + -6)(x + -6) = 16 Reorder the terms: (-6 + x)(x + -6) = 16 Reorder the terms: (-6 + x)(-6 + x) = 16 Multiply (-6 + x) * (-6 + x) (-6(-6 + x) + x(-6 + x)) = 16 ((-6 * -6 + x * -6) + x(-6 + x)) = 16 ((36 + -6x) + x(-6 + x)) = 16 (36 + -6x + (-6 * x + x * x)) = 16 (36 + -6x + (-6x + x2)) = 16 Combine like terms: -6x + -6x = -12x (36 + -12x + x2) = 16 Solving 36 + -12x + x2 = 16 Solving for variable 'x'. Reorder the terms: 36 + -16 + -12x + x2 = 16 + -16 Combine like terms: 36 + -16 = 20 20 + -12x + x2 = 16 + -16 Combine like terms: 16 + -16 = 0 20 + -12x + x2 = 0 Factor a trinomial. (2 + -1x)(10 + -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 '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {2, 10}
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