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Simplifying (4x + -9)(3x + 8) = 0 Reorder the terms: (-9 + 4x)(3x + 8) = 0 Reorder the terms: (-9 + 4x)(8 + 3x) = 0 Multiply (-9 + 4x) * (8 + 3x) (-9(8 + 3x) + 4x * (8 + 3x)) = 0 ((8 * -9 + 3x * -9) + 4x * (8 + 3x)) = 0 ((-72 + -27x) + 4x * (8 + 3x)) = 0 (-72 + -27x + (8 * 4x + 3x * 4x)) = 0 (-72 + -27x + (32x + 12x2)) = 0 Combine like terms: -27x + 32x = 5x (-72 + 5x + 12x2) = 0 Solving -72 + 5x + 12x2 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + -3x)(9 + -4x) = 0Subproblem 1
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 = -2.666666667Subproblem 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 = {-2.666666667, 2.25}
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