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Simplifying (3x + -5)(-9 + 4x) = 0 Reorder the terms: (-5 + 3x)(-9 + 4x) = 0 Multiply (-5 + 3x) * (-9 + 4x) (-5(-9 + 4x) + 3x * (-9 + 4x)) = 0 ((-9 * -5 + 4x * -5) + 3x * (-9 + 4x)) = 0 ((45 + -20x) + 3x * (-9 + 4x)) = 0 (45 + -20x + (-9 * 3x + 4x * 3x)) = 0 (45 + -20x + (-27x + 12x2)) = 0 Combine like terms: -20x + -27x = -47x (45 + -47x + 12x2) = 0 Solving 45 + -47x + 12x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -3x)(9 + -4x) = 0Subproblem 1
Set the factor '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667Subproblem 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 = {1.666666667, 2.25}
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