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Simplifying (x + -8)(x + -10) = -1 Reorder the terms: (-8 + x)(x + -10) = -1 Reorder the terms: (-8 + x)(-10 + x) = -1 Multiply (-8 + x) * (-10 + x) (-8(-10 + x) + x(-10 + x)) = -1 ((-10 * -8 + x * -8) + x(-10 + x)) = -1 ((80 + -8x) + x(-10 + x)) = -1 (80 + -8x + (-10 * x + x * x)) = -1 (80 + -8x + (-10x + x2)) = -1 Combine like terms: -8x + -10x = -18x (80 + -18x + x2) = -1 Solving 80 + -18x + x2 = -1 Solving for variable 'x'. Reorder the terms: 80 + 1 + -18x + x2 = -1 + 1 Combine like terms: 80 + 1 = 81 81 + -18x + x2 = -1 + 1 Combine like terms: -1 + 1 = 0 81 + -18x + x2 = 0 Factor a trinomial. (9 + -1x)(9 + -1x) = 0Subproblem 1
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 = 9Subproblem 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 = {9, 9}
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