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Simplifying (9x + 8)(8x + -9) = 0 Reorder the terms: (8 + 9x)(8x + -9) = 0 Reorder the terms: (8 + 9x)(-9 + 8x) = 0 Multiply (8 + 9x) * (-9 + 8x) (8(-9 + 8x) + 9x * (-9 + 8x)) = 0 ((-9 * 8 + 8x * 8) + 9x * (-9 + 8x)) = 0 ((-72 + 64x) + 9x * (-9 + 8x)) = 0 (-72 + 64x + (-9 * 9x + 8x * 9x)) = 0 (-72 + 64x + (-81x + 72x2)) = 0 Combine like terms: 64x + -81x = -17x (-72 + -17x + 72x2) = 0 Solving -72 + -17x + 72x2 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + -9x)(9 + -8x) = 0Subproblem 1
Set the factor '(-8 + -9x)' equal to zero and attempt to solve: Simplifying -8 + -9x = 0 Solving -8 + -9x = 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 + -9x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -9x = 0 + 8 -9x = 0 + 8 Combine like terms: 0 + 8 = 8 -9x = 8 Divide each side by '-9'. x = -0.8888888889 Simplifying x = -0.8888888889Subproblem 2
Set the factor '(9 + -8x)' equal to zero and attempt to solve: Simplifying 9 + -8x = 0 Solving 9 + -8x = 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 + -8x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8x = 0 + -9 -8x = 0 + -9 Combine like terms: 0 + -9 = -9 -8x = -9 Divide each side by '-8'. x = 1.125 Simplifying x = 1.125Solution
x = {-0.8888888889, 1.125}
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