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Simplifying (-9x + -8)(-1x + -6) = 0 Reorder the terms: (-8 + -9x)(-1x + -6) = 0 Reorder the terms: (-8 + -9x)(-6 + -1x) = 0 Multiply (-8 + -9x) * (-6 + -1x) (-8(-6 + -1x) + -9x * (-6 + -1x)) = 0 ((-6 * -8 + -1x * -8) + -9x * (-6 + -1x)) = 0 ((48 + 8x) + -9x * (-6 + -1x)) = 0 (48 + 8x + (-6 * -9x + -1x * -9x)) = 0 (48 + 8x + (54x + 9x2)) = 0 Combine like terms: 8x + 54x = 62x (48 + 62x + 9x2) = 0 Solving 48 + 62x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (6 + x)(8 + 9x) = 0Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Subproblem 2
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 = -0.8888888889Solution
x = {-6, -0.8888888889}
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