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Simplifying (5x + 9)(7x + -9) = 0 Reorder the terms: (9 + 5x)(7x + -9) = 0 Reorder the terms: (9 + 5x)(-9 + 7x) = 0 Multiply (9 + 5x) * (-9 + 7x) (9(-9 + 7x) + 5x * (-9 + 7x)) = 0 ((-9 * 9 + 7x * 9) + 5x * (-9 + 7x)) = 0 ((-81 + 63x) + 5x * (-9 + 7x)) = 0 (-81 + 63x + (-9 * 5x + 7x * 5x)) = 0 (-81 + 63x + (-45x + 35x2)) = 0 Combine like terms: 63x + -45x = 18x (-81 + 18x + 35x2) = 0 Solving -81 + 18x + 35x2 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + -5x)(9 + -7x) = 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 '(9 + -7x)' equal to zero and attempt to solve: Simplifying 9 + -7x = 0 Solving 9 + -7x = 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 + -7x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7x = 0 + -9 -7x = 0 + -9 Combine like terms: 0 + -9 = -9 -7x = -9 Divide each side by '-7'. x = 1.285714286 Simplifying x = 1.285714286Solution
x = {-1.8, 1.285714286}
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