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Simplifying -38x = -1x2 + -360 Reorder the terms: -38x = -360 + -1x2 Solving -38x = -360 + -1x2 Solving for variable 'x'. Reorder the terms: 360 + -38x + x2 = -360 + -1x2 + 360 + x2 Reorder the terms: 360 + -38x + x2 = -360 + 360 + -1x2 + x2 Combine like terms: -360 + 360 = 0 360 + -38x + x2 = 0 + -1x2 + x2 360 + -38x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 360 + -38x + x2 = 0 Factor a trinomial. (18 + -1x)(20 + -1x) = 0Subproblem 1
Set the factor '(18 + -1x)' equal to zero and attempt to solve: Simplifying 18 + -1x = 0 Solving 18 + -1x = 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 + -1x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 0 + -18 -1x = 0 + -18 Combine like terms: 0 + -18 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20Solution
x = {18, 20}
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