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Simplifying (5x + -9)(2x + 7) = 0 Reorder the terms: (-9 + 5x)(2x + 7) = 0 Reorder the terms: (-9 + 5x)(7 + 2x) = 0 Multiply (-9 + 5x) * (7 + 2x) (-9(7 + 2x) + 5x * (7 + 2x)) = 0 ((7 * -9 + 2x * -9) + 5x * (7 + 2x)) = 0 ((-63 + -18x) + 5x * (7 + 2x)) = 0 (-63 + -18x + (7 * 5x + 2x * 5x)) = 0 (-63 + -18x + (35x + 10x2)) = 0 Combine like terms: -18x + 35x = 17x (-63 + 17x + 10x2) = 0 Solving -63 + 17x + 10x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -2x)(9 + -5x) = 0Subproblem 1
Set the factor '(-7 + -2x)' equal to zero and attempt to solve: Simplifying -7 + -2x = 0 Solving -7 + -2x = 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 + -2x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = 0 + 7 -2x = 0 + 7 Combine like terms: 0 + 7 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5Subproblem 2
Set the factor '(9 + -5x)' equal to zero and attempt to solve: Simplifying 9 + -5x = 0 Solving 9 + -5x = 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 + -5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5x = 0 + -9 -5x = 0 + -9 Combine like terms: 0 + -9 = -9 -5x = -9 Divide each side by '-5'. x = 1.8 Simplifying x = 1.8Solution
x = {-3.5, 1.8}
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