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Simplifying x(x + -36) = 5605 Reorder the terms: x(-36 + x) = 5605 (-36 * x + x * x) = 5605 (-36x + x2) = 5605 Solving -36x + x2 = 5605 Solving for variable 'x'. Reorder the terms: -5605 + -36x + x2 = 5605 + -5605 Combine like terms: 5605 + -5605 = 0 -5605 + -36x + x2 = 0 Factor a trinomial. (-59 + -1x)(95 + -1x) = 0Subproblem 1
Set the factor '(-59 + -1x)' equal to zero and attempt to solve: Simplifying -59 + -1x = 0 Solving -59 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '59' to each side of the equation. -59 + 59 + -1x = 0 + 59 Combine like terms: -59 + 59 = 0 0 + -1x = 0 + 59 -1x = 0 + 59 Combine like terms: 0 + 59 = 59 -1x = 59 Divide each side by '-1'. x = -59 Simplifying x = -59Subproblem 2
Set the factor '(95 + -1x)' equal to zero and attempt to solve: Simplifying 95 + -1x = 0 Solving 95 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-95' to each side of the equation. 95 + -95 + -1x = 0 + -95 Combine like terms: 95 + -95 = 0 0 + -1x = 0 + -95 -1x = 0 + -95 Combine like terms: 0 + -95 = -95 -1x = -95 Divide each side by '-1'. x = 95 Simplifying x = 95Solution
x = {-59, 95}
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