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Simplifying (2x + 9)(7x + -9) = 0 Reorder the terms: (9 + 2x)(7x + -9) = 0 Reorder the terms: (9 + 2x)(-9 + 7x) = 0 Multiply (9 + 2x) * (-9 + 7x) (9(-9 + 7x) + 2x * (-9 + 7x)) = 0 ((-9 * 9 + 7x * 9) + 2x * (-9 + 7x)) = 0 ((-81 + 63x) + 2x * (-9 + 7x)) = 0 (-81 + 63x + (-9 * 2x + 7x * 2x)) = 0 (-81 + 63x + (-18x + 14x2)) = 0 Combine like terms: 63x + -18x = 45x (-81 + 45x + 14x2) = 0 Solving -81 + 45x + 14x2 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + -2x)(9 + -7x) = 0Subproblem 1
Set the factor '(-9 + -2x)' equal to zero and attempt to solve: Simplifying -9 + -2x = 0 Solving -9 + -2x = 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 + -2x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2x = 0 + 9 -2x = 0 + 9 Combine like terms: 0 + 9 = 9 -2x = 9 Divide each side by '-2'. x = -4.5 Simplifying x = -4.5Subproblem 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 = {-4.5, 1.285714286}
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