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Simplifying (-8 + x)(-8 + x) = 0 Multiply (-8 + x) * (-8 + x) (-8(-8 + x) + x(-8 + x)) = 0 ((-8 * -8 + x * -8) + x(-8 + x)) = 0 ((64 + -8x) + x(-8 + x)) = 0 (64 + -8x + (-8 * x + x * x)) = 0 (64 + -8x + (-8x + x2)) = 0 Combine like terms: -8x + -8x = -16x (64 + -16x + x2) = 0 Solving 64 + -16x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (8 + -1x)(8 + -1x) = 0Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {8, 8}
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