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Simplifying (4x + -9)(5x + 7) = 0 Reorder the terms: (-9 + 4x)(5x + 7) = 0 Reorder the terms: (-9 + 4x)(7 + 5x) = 0 Multiply (-9 + 4x) * (7 + 5x) (-9(7 + 5x) + 4x * (7 + 5x)) = 0 ((7 * -9 + 5x * -9) + 4x * (7 + 5x)) = 0 ((-63 + -45x) + 4x * (7 + 5x)) = 0 (-63 + -45x + (7 * 4x + 5x * 4x)) = 0 (-63 + -45x + (28x + 20x2)) = 0 Combine like terms: -45x + 28x = -17x (-63 + -17x + 20x2) = 0 Solving -63 + -17x + 20x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -5x)(9 + -4x) = 0Subproblem 1
Set the factor '(-7 + -5x)' equal to zero and attempt to solve: Simplifying -7 + -5x = 0 Solving -7 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -5x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5x = 0 + 7 -5x = 0 + 7 Combine like terms: 0 + 7 = 7 -5x = 7 Divide each side by '-5'. x = -1.4 Simplifying x = -1.4Subproblem 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 = {-1.4, 2.25}
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