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Simplifying 11x2 + 64x + 45 = 0 Reorder the terms: 45 + 64x + 11x2 = 0 Solving 45 + 64x + 11x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + x)(9 + 11x) = 0Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 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 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Subproblem 2
Set the factor '(9 + 11x)' equal to zero and attempt to solve: Simplifying 9 + 11x = 0 Solving 9 + 11x = 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 + 11x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 11x = 0 + -9 11x = 0 + -9 Combine like terms: 0 + -9 = -9 11x = -9 Divide each side by '11'. x = -0.8181818182 Simplifying x = -0.8181818182Solution
x = {-5, -0.8181818182}
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