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Simplifying (11x + 4)(8x + 5) = 0 Reorder the terms: (4 + 11x)(8x + 5) = 0 Reorder the terms: (4 + 11x)(5 + 8x) = 0 Multiply (4 + 11x) * (5 + 8x) (4(5 + 8x) + 11x * (5 + 8x)) = 0 ((5 * 4 + 8x * 4) + 11x * (5 + 8x)) = 0 ((20 + 32x) + 11x * (5 + 8x)) = 0 (20 + 32x + (5 * 11x + 8x * 11x)) = 0 (20 + 32x + (55x + 88x2)) = 0 Combine like terms: 32x + 55x = 87x (20 + 87x + 88x2) = 0 Solving 20 + 87x + 88x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + 8x)(4 + 11x) = 0Subproblem 1
Set the factor '(5 + 8x)' equal to zero and attempt to solve: Simplifying 5 + 8x = 0 Solving 5 + 8x = 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 + 8x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8x = 0 + -5 8x = 0 + -5 Combine like terms: 0 + -5 = -5 8x = -5 Divide each side by '8'. x = -0.625 Simplifying x = -0.625Subproblem 2
Set the factor '(4 + 11x)' equal to zero and attempt to solve: Simplifying 4 + 11x = 0 Solving 4 + 11x = 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 + 11x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 11x = 0 + -4 11x = 0 + -4 Combine like terms: 0 + -4 = -4 11x = -4 Divide each side by '11'. x = -0.3636363636 Simplifying x = -0.3636363636Solution
x = {-0.625, -0.3636363636}
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