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Simplifying (9x + -2)(7x + 9) = 0 Reorder the terms: (-2 + 9x)(7x + 9) = 0 Reorder the terms: (-2 + 9x)(9 + 7x) = 0 Multiply (-2 + 9x) * (9 + 7x) (-2(9 + 7x) + 9x * (9 + 7x)) = 0 ((9 * -2 + 7x * -2) + 9x * (9 + 7x)) = 0 ((-18 + -14x) + 9x * (9 + 7x)) = 0 (-18 + -14x + (9 * 9x + 7x * 9x)) = 0 (-18 + -14x + (81x + 63x2)) = 0 Combine like terms: -14x + 81x = 67x (-18 + 67x + 63x2) = 0 Solving -18 + 67x + 63x2 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + -7x)(2 + -9x) = 0Subproblem 1
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 = -1.285714286Subproblem 2
Set the factor '(2 + -9x)' equal to zero and attempt to solve: Simplifying 2 + -9x = 0 Solving 2 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -9x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -9x = 0 + -2 -9x = 0 + -2 Combine like terms: 0 + -2 = -2 -9x = -2 Divide each side by '-9'. x = 0.2222222222 Simplifying x = 0.2222222222Solution
x = {-1.285714286, 0.2222222222}
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