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Simplifying (10 + -1x)(8 + -1x) = 8 Multiply (10 + -1x) * (8 + -1x) (10(8 + -1x) + -1x * (8 + -1x)) = 8 ((8 * 10 + -1x * 10) + -1x * (8 + -1x)) = 8 ((80 + -10x) + -1x * (8 + -1x)) = 8 (80 + -10x + (8 * -1x + -1x * -1x)) = 8 (80 + -10x + (-8x + 1x2)) = 8 Combine like terms: -10x + -8x = -18x (80 + -18x + 1x2) = 8 Solving 80 + -18x + 1x2 = 8 Solving for variable 'x'. Reorder the terms: 80 + -8 + -18x + 1x2 = 8 + -8 Combine like terms: 80 + -8 = 72 72 + -18x + 1x2 = 8 + -8 Combine like terms: 8 + -8 = 0 72 + -18x + 1x2 = 0 Factor a trinomial. (6 + -1x)(12 + -1x) = 0Subproblem 1
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 = 6Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {6, 12}
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