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Simplifying 11x2 + 52x + 32 = 0 Reorder the terms: 32 + 52x + 11x2 = 0 Solving 32 + 52x + 11x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + x)(8 + 11x) = 0Subproblem 1
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 = -4Subproblem 2
Set the factor '(8 + 11x)' equal to zero and attempt to solve: Simplifying 8 + 11x = 0 Solving 8 + 11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 11x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 11x = 0 + -8 11x = 0 + -8 Combine like terms: 0 + -8 = -8 11x = -8 Divide each side by '11'. x = -0.7272727273 Simplifying x = -0.7272727273Solution
x = {-4, -0.7272727273}
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