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Simplifying 8x(9x + 4) + -3(9x + 4) = 0 Reorder the terms: 8x(4 + 9x) + -3(9x + 4) = 0 (4 * 8x + 9x * 8x) + -3(9x + 4) = 0 (32x + 72x2) + -3(9x + 4) = 0 Reorder the terms: 32x + 72x2 + -3(4 + 9x) = 0 32x + 72x2 + (4 * -3 + 9x * -3) = 0 32x + 72x2 + (-12 + -27x) = 0 Reorder the terms: -12 + 32x + -27x + 72x2 = 0 Combine like terms: 32x + -27x = 5x -12 + 5x + 72x2 = 0 Solving -12 + 5x + 72x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -9x)(3 + -8x) = 0Subproblem 1
Set the factor '(-4 + -9x)' equal to zero and attempt to solve: Simplifying -4 + -9x = 0 Solving -4 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -9x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -9x = 0 + 4 -9x = 0 + 4 Combine like terms: 0 + 4 = 4 -9x = 4 Divide each side by '-9'. x = -0.4444444444 Simplifying x = -0.4444444444Subproblem 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 = {-0.4444444444, 0.375}
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