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Simplifying (-1x + 9)(-8 + -11x) = 0 Reorder the terms: (9 + -1x)(-8 + -11x) = 0 Multiply (9 + -1x) * (-8 + -11x) (9(-8 + -11x) + -1x * (-8 + -11x)) = 0 ((-8 * 9 + -11x * 9) + -1x * (-8 + -11x)) = 0 ((-72 + -99x) + -1x * (-8 + -11x)) = 0 (-72 + -99x + (-8 * -1x + -11x * -1x)) = 0 (-72 + -99x + (8x + 11x2)) = 0 Combine like terms: -99x + 8x = -91x (-72 + -91x + 11x2) = 0 Solving -72 + -91x + 11x2 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + -11x)(9 + -1x) = 0Subproblem 1
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 = -0.7272727273Subproblem 2
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 = 9Solution
x = {-0.7272727273, 9}
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