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Simplifying (5x + -44)(x + -99) = x + -99 Reorder the terms: (-44 + 5x)(x + -99) = x + -99 Reorder the terms: (-44 + 5x)(-99 + x) = x + -99 Multiply (-44 + 5x) * (-99 + x) (-44(-99 + x) + 5x * (-99 + x)) = x + -99 ((-99 * -44 + x * -44) + 5x * (-99 + x)) = x + -99 ((4356 + -44x) + 5x * (-99 + x)) = x + -99 (4356 + -44x + (-99 * 5x + x * 5x)) = x + -99 (4356 + -44x + (-495x + 5x2)) = x + -99 Combine like terms: -44x + -495x = -539x (4356 + -539x + 5x2) = x + -99 Reorder the terms: 4356 + -539x + 5x2 = -99 + x Solving 4356 + -539x + 5x2 = -99 + x Solving for variable 'x'. Reorder the terms: 4356 + 99 + -539x + -1x + 5x2 = -99 + x + 99 + -1x Combine like terms: 4356 + 99 = 4455 4455 + -539x + -1x + 5x2 = -99 + x + 99 + -1x Combine like terms: -539x + -1x = -540x 4455 + -540x + 5x2 = -99 + x + 99 + -1x Reorder the terms: 4455 + -540x + 5x2 = -99 + 99 + x + -1x Combine like terms: -99 + 99 = 0 4455 + -540x + 5x2 = 0 + x + -1x 4455 + -540x + 5x2 = x + -1x Combine like terms: x + -1x = 0 4455 + -540x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(891 + -108x + x2) = 0 Factor a trinomial. 5((9 + -1x)(99 + -1x)) = 0 Ignore the factor 5.Subproblem 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 '(99 + -1x)' equal to zero and attempt to solve: Simplifying 99 + -1x = 0 Solving 99 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-99' to each side of the equation. 99 + -99 + -1x = 0 + -99 Combine like terms: 99 + -99 = 0 0 + -1x = 0 + -99 -1x = 0 + -99 Combine like terms: 0 + -99 = -99 -1x = -99 Divide each side by '-1'. x = 99 Simplifying x = 99Solution
x = {9, 99}
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