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Simplifying 36 = 5x2 + 11x Reorder the terms: 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. (9 + -5x)(4 + x) = 0Subproblem 1
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 = 1.8Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {1.8, -4}
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