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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. (-9 + -5x)(7 + -2x) = 0Subproblem 1
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 = -1.8Subproblem 2
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 = 3.5Solution
x = {-1.8, 3.5}
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