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Simplifying (11x + -9)(1x + 9) = 0 Reorder the terms: (-9 + 11x)(1x + 9) = 0 Reorder the terms: (-9 + 11x)(9 + 1x) = 0 Multiply (-9 + 11x) * (9 + 1x) (-9(9 + 1x) + 11x * (9 + 1x)) = 0 ((9 * -9 + 1x * -9) + 11x * (9 + 1x)) = 0 ((-81 + -9x) + 11x * (9 + 1x)) = 0 (-81 + -9x + (9 * 11x + 1x * 11x)) = 0 (-81 + -9x + (99x + 11x2)) = 0 Combine like terms: -9x + 99x = 90x (-81 + 90x + 11x2) = 0 Solving -81 + 90x + 11x2 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + -1x)(9 + -11x) = 0Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve: Simplifying -9 + -1x = 0 Solving -9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = 0 + 9 -1x = 0 + 9 Combine like terms: 0 + 9 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9Subproblem 2
Set the factor '(9 + -11x)' equal to zero and attempt to solve: Simplifying 9 + -11x = 0 Solving 9 + -11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -11x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -11x = 0 + -9 -11x = 0 + -9 Combine like terms: 0 + -9 = -9 -11x = -9 Divide each side by '-11'. x = 0.8181818182 Simplifying x = 0.8181818182Solution
x = {-9, 0.8181818182}
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