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Simplifying (9x + 11)(8x + -3) = 0 Reorder the terms: (11 + 9x)(8x + -3) = 0 Reorder the terms: (11 + 9x)(-3 + 8x) = 0 Multiply (11 + 9x) * (-3 + 8x) (11(-3 + 8x) + 9x * (-3 + 8x)) = 0 ((-3 * 11 + 8x * 11) + 9x * (-3 + 8x)) = 0 ((-33 + 88x) + 9x * (-3 + 8x)) = 0 (-33 + 88x + (-3 * 9x + 8x * 9x)) = 0 (-33 + 88x + (-27x + 72x2)) = 0 Combine like terms: 88x + -27x = 61x (-33 + 61x + 72x2) = 0 Solving -33 + 61x + 72x2 = 0 Solving for variable 'x'. Factor a trinomial. (-11 + -9x)(3 + -8x) = 0Subproblem 1
Set the factor '(-11 + -9x)' equal to zero and attempt to solve: Simplifying -11 + -9x = 0 Solving -11 + -9x = 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 + -9x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -9x = 0 + 11 -9x = 0 + 11 Combine like terms: 0 + 11 = 11 -9x = 11 Divide each side by '-9'. x = -1.222222222 Simplifying x = -1.222222222Subproblem 2
Set the factor '(3 + -8x)' equal to zero and attempt to solve: Simplifying 3 + -8x = 0 Solving 3 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = 0 + -3 -8x = 0 + -3 Combine like terms: 0 + -3 = -3 -8x = -3 Divide each side by '-8'. x = 0.375 Simplifying x = 0.375Solution
x = {-1.222222222, 0.375}
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