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Simplifying 0 = (9x + -2)(7x + 9) Reorder the terms: 0 = (-2 + 9x)(7x + 9) Reorder the terms: 0 = (-2 + 9x)(9 + 7x) Multiply (-2 + 9x) * (9 + 7x) 0 = (-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)) Combine like terms: -14x + 81x = 67x 0 = (-18 + 67x + 63x2) Solving 0 = -18 + 67x + 63x2 Solving for variable 'x'. Combine like terms: 0 + 18 = 18 18 + -67x + -63x2 = -18 + 67x + 63x2 + 18 + -67x + -63x2 Reorder the terms: 18 + -67x + -63x2 = -18 + 18 + 67x + -67x + 63x2 + -63x2 Combine like terms: -18 + 18 = 0 18 + -67x + -63x2 = 0 + 67x + -67x + 63x2 + -63x2 18 + -67x + -63x2 = 67x + -67x + 63x2 + -63x2 Combine like terms: 67x + -67x = 0 18 + -67x + -63x2 = 0 + 63x2 + -63x2 18 + -67x + -63x2 = 63x2 + -63x2 Combine like terms: 63x2 + -63x2 = 0 18 + -67x + -63x2 = 0 Factor a trinomial. (2 + -9x)(9 + 7x) = 0Subproblem 1
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 = 0.2222222222Subproblem 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 = {0.2222222222, -1.285714286}
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