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Simplifying -1x2 + 57x = 540 Reorder the terms: 57x + -1x2 = 540 Solving 57x + -1x2 = 540 Solving for variable 'x'. Reorder the terms: -540 + 57x + -1x2 = 540 + -540 Combine like terms: 540 + -540 = 0 -540 + 57x + -1x2 = 0 Factor a trinomial. (-45 + x)(12 + -1x) = 0Subproblem 1
Set the factor '(-45 + x)' equal to zero and attempt to solve: Simplifying -45 + x = 0 Solving -45 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + x = 0 + 45 Combine like terms: -45 + 45 = 0 0 + x = 0 + 45 x = 0 + 45 Combine like terms: 0 + 45 = 45 x = 45 Simplifying x = 45Subproblem 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 = {45, 12}
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