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Simplifying (8x + -3)(9x + 1) = 0 Reorder the terms: (-3 + 8x)(9x + 1) = 0 Reorder the terms: (-3 + 8x)(1 + 9x) = 0 Multiply (-3 + 8x) * (1 + 9x) (-3(1 + 9x) + 8x * (1 + 9x)) = 0 ((1 * -3 + 9x * -3) + 8x * (1 + 9x)) = 0 ((-3 + -27x) + 8x * (1 + 9x)) = 0 (-3 + -27x + (1 * 8x + 9x * 8x)) = 0 (-3 + -27x + (8x + 72x2)) = 0 Combine like terms: -27x + 8x = -19x (-3 + -19x + 72x2) = 0 Solving -3 + -19x + 72x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -9x)(3 + -8x) = 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 '(3 + -8x)' equal to zero and attempt to solve: Simplifying 3 + -8x = 0 Solving 3 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = 0 + -3 -8x = 0 + -3 Combine like terms: 0 + -3 = -3 -8x = -3 Divide each side by '-8'. x = 0.375 Simplifying x = 0.375Solution
x = {-0.1111111111, 0.375}
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