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Simplifying (4x + -9)(3x + 5) = 0 Reorder the terms: (-9 + 4x)(3x + 5) = 0 Reorder the terms: (-9 + 4x)(5 + 3x) = 0 Multiply (-9 + 4x) * (5 + 3x) (-9(5 + 3x) + 4x * (5 + 3x)) = 0 ((5 * -9 + 3x * -9) + 4x * (5 + 3x)) = 0 ((-45 + -27x) + 4x * (5 + 3x)) = 0 (-45 + -27x + (5 * 4x + 3x * 4x)) = 0 (-45 + -27x + (20x + 12x2)) = 0 Combine like terms: -27x + 20x = -7x (-45 + -7x + 12x2) = 0 Solving -45 + -7x + 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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