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Simplifying (x + -5)(40 + -1x) = 124 Reorder the terms: (-5 + x)(40 + -1x) = 124 Multiply (-5 + x) * (40 + -1x) (-5(40 + -1x) + x(40 + -1x)) = 124 ((40 * -5 + -1x * -5) + x(40 + -1x)) = 124 ((-200 + 5x) + x(40 + -1x)) = 124 (-200 + 5x + (40 * x + -1x * x)) = 124 (-200 + 5x + (40x + -1x2)) = 124 Combine like terms: 5x + 40x = 45x (-200 + 45x + -1x2) = 124 Solving -200 + 45x + -1x2 = 124 Solving for variable 'x'. Reorder the terms: -200 + -124 + 45x + -1x2 = 124 + -124 Combine like terms: -200 + -124 = -324 -324 + 45x + -1x2 = 124 + -124 Combine like terms: 124 + -124 = 0 -324 + 45x + -1x2 = 0 Factor a trinomial. (-36 + x)(9 + -1x) = 0Subproblem 1
Set the factor '(-36 + x)' equal to zero and attempt to solve: Simplifying -36 + x = 0 Solving -36 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + x = 0 + 36 x = 0 + 36 Combine like terms: 0 + 36 = 36 x = 36 Simplifying x = 36Subproblem 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 = {36, 9}
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