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Simplifying (5x + -7)(4x + 9) = 0 Reorder the terms: (-7 + 5x)(4x + 9) = 0 Reorder the terms: (-7 + 5x)(9 + 4x) = 0 Multiply (-7 + 5x) * (9 + 4x) (-7(9 + 4x) + 5x * (9 + 4x)) = 0 ((9 * -7 + 4x * -7) + 5x * (9 + 4x)) = 0 ((-63 + -28x) + 5x * (9 + 4x)) = 0 (-63 + -28x + (9 * 5x + 4x * 5x)) = 0 (-63 + -28x + (45x + 20x2)) = 0 Combine like terms: -28x + 45x = 17x (-63 + 17x + 20x2) = 0 Solving -63 + 17x + 20x2 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + -4x)(7 + -5x) = 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 '(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 = 1.4Solution
x = {-2.25, 1.4}
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