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Simplifying (x + -36) * x = 8140 Reorder the terms: (-36 + x) * x = 8140 Reorder the terms for easier multiplication: x(-36 + x) = 8140 (-36 * x + x * x) = 8140 (-36x + x2) = 8140 Solving -36x + x2 = 8140 Solving for variable 'x'. Reorder the terms: -8140 + -36x + x2 = 8140 + -8140 Combine like terms: 8140 + -8140 = 0 -8140 + -36x + x2 = 0 Factor a trinomial. (-74 + -1x)(110 + -1x) = 0Subproblem 1
Set the factor '(-74 + -1x)' equal to zero and attempt to solve: Simplifying -74 + -1x = 0 Solving -74 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '74' to each side of the equation. -74 + 74 + -1x = 0 + 74 Combine like terms: -74 + 74 = 0 0 + -1x = 0 + 74 -1x = 0 + 74 Combine like terms: 0 + 74 = 74 -1x = 74 Divide each side by '-1'. x = -74 Simplifying x = -74Subproblem 2
Set the factor '(110 + -1x)' equal to zero and attempt to solve: Simplifying 110 + -1x = 0 Solving 110 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-110' to each side of the equation. 110 + -110 + -1x = 0 + -110 Combine like terms: 110 + -110 = 0 0 + -1x = 0 + -110 -1x = 0 + -110 Combine like terms: 0 + -110 = -110 -1x = -110 Divide each side by '-1'. x = 110 Simplifying x = 110Solution
x = {-74, 110}
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