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Simplifying (x + -8)(x + -8) + -1 = 0 Reorder the terms: (-8 + x)(x + -8) + -1 = 0 Reorder the terms: (-8 + x)(-8 + x) + -1 = 0 Multiply (-8 + x) * (-8 + x) (-8(-8 + x) + x(-8 + x)) + -1 = 0 ((-8 * -8 + x * -8) + x(-8 + x)) + -1 = 0 ((64 + -8x) + x(-8 + x)) + -1 = 0 (64 + -8x + (-8 * x + x * x)) + -1 = 0 (64 + -8x + (-8x + x2)) + -1 = 0 Combine like terms: -8x + -8x = -16x (64 + -16x + x2) + -1 = 0 Reorder the terms: 64 + -1 + -16x + x2 = 0 Combine like terms: 64 + -1 = 63 63 + -16x + x2 = 0 Solving 63 + -16x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + -1x)(9 + -1x) = 0Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {7, 9}
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