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Simplifying (4x + -9)(8x + 3) = 0 Reorder the terms: (-9 + 4x)(8x + 3) = 0 Reorder the terms: (-9 + 4x)(3 + 8x) = 0 Multiply (-9 + 4x) * (3 + 8x) (-9(3 + 8x) + 4x * (3 + 8x)) = 0 ((3 * -9 + 8x * -9) + 4x * (3 + 8x)) = 0 ((-27 + -72x) + 4x * (3 + 8x)) = 0 (-27 + -72x + (3 * 4x + 8x * 4x)) = 0 (-27 + -72x + (12x + 32x2)) = 0 Combine like terms: -72x + 12x = -60x (-27 + -60x + 32x2) = 0 Solving -27 + -60x + 32x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -8x)(9 + -4x) = 0Subproblem 1
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 = -0.375Subproblem 2
Set the factor '(9 + -4x)' equal to zero and attempt to solve: Simplifying 9 + -4x = 0 Solving 9 + -4x = 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 + -4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = 0 + -9 -4x = 0 + -9 Combine like terms: 0 + -9 = -9 -4x = -9 Divide each side by '-4'. x = 2.25 Simplifying x = 2.25Solution
x = {-0.375, 2.25}
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