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Simplifying 36 = x(5x + -11) Reorder the terms: 36 = x(-11 + 5x) 36 = (-11 * x + 5x * x) 36 = (-11x + 5x2) Solving 36 = -11x + 5x2 Solving for variable 'x'. Reorder the terms: 36 + 11x + -5x2 = -11x + 11x + 5x2 + -5x2 Combine like terms: -11x + 11x = 0 36 + 11x + -5x2 = 0 + 5x2 + -5x2 36 + 11x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 36 + 11x + -5x2 = 0 Factor a trinomial. (4 + -1x)(9 + 5x) = 0Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 2
Set the factor '(9 + 5x)' equal to zero and attempt to solve: Simplifying 9 + 5x = 0 Solving 9 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5x = 0 + -9 5x = 0 + -9 Combine like terms: 0 + -9 = -9 5x = -9 Divide each side by '5'. x = -1.8 Simplifying x = -1.8Solution
x = {4, -1.8}
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