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Simplifying (11x + 8)(2x + 5) = 0 Reorder the terms: (8 + 11x)(2x + 5) = 0 Reorder the terms: (8 + 11x)(5 + 2x) = 0 Multiply (8 + 11x) * (5 + 2x) (8(5 + 2x) + 11x * (5 + 2x)) = 0 ((5 * 8 + 2x * 8) + 11x * (5 + 2x)) = 0 ((40 + 16x) + 11x * (5 + 2x)) = 0 (40 + 16x + (5 * 11x + 2x * 11x)) = 0 (40 + 16x + (55x + 22x2)) = 0 Combine like terms: 16x + 55x = 71x (40 + 71x + 22x2) = 0 Solving 40 + 71x + 22x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + 2x)(8 + 11x) = 0Subproblem 1
Set the factor '(5 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 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 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5Subproblem 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 = {-2.5, -0.7272727273}
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