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Simplifying (3x + -8)(4x + -9) = 0 Reorder the terms: (-8 + 3x)(4x + -9) = 0 Reorder the terms: (-8 + 3x)(-9 + 4x) = 0 Multiply (-8 + 3x) * (-9 + 4x) (-8(-9 + 4x) + 3x * (-9 + 4x)) = 0 ((-9 * -8 + 4x * -8) + 3x * (-9 + 4x)) = 0 ((72 + -32x) + 3x * (-9 + 4x)) = 0 (72 + -32x + (-9 * 3x + 4x * 3x)) = 0 (72 + -32x + (-27x + 12x2)) = 0 Combine like terms: -32x + -27x = -59x (72 + -59x + 12x2) = 0 Solving 72 + -59x + 12x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + -4x)(8 + -3x) = 0Subproblem 1
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 = 2.25Subproblem 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 = {2.25, 2.666666667}
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