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Simplifying (-3x + -8)(9x + -1) = 0 Reorder the terms: (-8 + -3x)(9x + -1) = 0 Reorder the terms: (-8 + -3x)(-1 + 9x) = 0 Multiply (-8 + -3x) * (-1 + 9x) (-8(-1 + 9x) + -3x * (-1 + 9x)) = 0 ((-1 * -8 + 9x * -8) + -3x * (-1 + 9x)) = 0 ((8 + -72x) + -3x * (-1 + 9x)) = 0 (8 + -72x + (-1 * -3x + 9x * -3x)) = 0 (8 + -72x + (3x + -27x2)) = 0 Combine like terms: -72x + 3x = -69x (8 + -69x + -27x2) = 0 Solving 8 + -69x + -27x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -9x)(8 + 3x) = 0Subproblem 1
Set the factor '(1 + -9x)' equal to zero and attempt to solve: Simplifying 1 + -9x = 0 Solving 1 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -9x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -9x = 0 + -1 -9x = 0 + -1 Combine like terms: 0 + -1 = -1 -9x = -1 Divide each side by '-9'. x = 0.1111111111 Simplifying x = 0.1111111111Subproblem 2
Set the factor '(8 + 3x)' equal to zero and attempt to solve: Simplifying 8 + 3x = 0 Solving 8 + 3x = 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 + 3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 0 + -8 3x = 0 + -8 Combine like terms: 0 + -8 = -8 3x = -8 Divide each side by '3'. x = -2.666666667 Simplifying x = -2.666666667Solution
x = {0.1111111111, -2.666666667}
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