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Simplifying (8x + 11)(5x + 11) = 0 Reorder the terms: (11 + 8x)(5x + 11) = 0 Reorder the terms: (11 + 8x)(11 + 5x) = 0 Multiply (11 + 8x) * (11 + 5x) (11(11 + 5x) + 8x * (11 + 5x)) = 0 ((11 * 11 + 5x * 11) + 8x * (11 + 5x)) = 0 ((121 + 55x) + 8x * (11 + 5x)) = 0 (121 + 55x + (11 * 8x + 5x * 8x)) = 0 (121 + 55x + (88x + 40x2)) = 0 Combine like terms: 55x + 88x = 143x (121 + 143x + 40x2) = 0 Solving 121 + 143x + 40x2 = 0 Solving for variable 'x'. Factor a trinomial. (11 + 5x)(11 + 8x) = 0Subproblem 1
Set the factor '(11 + 5x)' equal to zero and attempt to solve: Simplifying 11 + 5x = 0 Solving 11 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 5x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 5x = 0 + -11 5x = 0 + -11 Combine like terms: 0 + -11 = -11 5x = -11 Divide each side by '5'. x = -2.2 Simplifying x = -2.2Subproblem 2
Set the factor '(11 + 8x)' equal to zero and attempt to solve: Simplifying 11 + 8x = 0 Solving 11 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 8x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 8x = 0 + -11 8x = 0 + -11 Combine like terms: 0 + -11 = -11 8x = -11 Divide each side by '8'. x = -1.375 Simplifying x = -1.375Solution
x = {-2.2, -1.375}
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