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