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Simplifying x(x + -5) + -36x + 180 = 0 Reorder the terms: x(-5 + x) + -36x + 180 = 0 (-5 * x + x * x) + -36x + 180 = 0 (-5x + x2) + -36x + 180 = 0 Reorder the terms: 180 + -5x + -36x + x2 = 0 Combine like terms: -5x + -36x = -41x 180 + -41x + x2 = 0 Solving 180 + -41x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -1x)(36 + -1x) = 0Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Subproblem 2
Set the factor '(36 + -1x)' equal to zero and attempt to solve: Simplifying 36 + -1x = 0 Solving 36 + -1x = 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 + -1x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -1x = 0 + -36 -1x = 0 + -36 Combine like terms: 0 + -36 = -36 -1x = -36 Divide each side by '-1'. x = 36 Simplifying x = 36Solution
x = {5, 36}
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