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Simplifying (9x + 7)(7x + -9) = 0 Reorder the terms: (7 + 9x)(7x + -9) = 0 Reorder the terms: (7 + 9x)(-9 + 7x) = 0 Multiply (7 + 9x) * (-9 + 7x) (7(-9 + 7x) + 9x * (-9 + 7x)) = 0 ((-9 * 7 + 7x * 7) + 9x * (-9 + 7x)) = 0 ((-63 + 49x) + 9x * (-9 + 7x)) = 0 (-63 + 49x + (-9 * 9x + 7x * 9x)) = 0 (-63 + 49x + (-81x + 63x2)) = 0 Combine like terms: 49x + -81x = -32x (-63 + -32x + 63x2) = 0 Solving -63 + -32x + 63x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -9x)(9 + -7x) = 0Subproblem 1
Set the factor '(-7 + -9x)' equal to zero and attempt to solve: Simplifying -7 + -9x = 0 Solving -7 + -9x = 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 + -9x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -9x = 0 + 7 -9x = 0 + 7 Combine like terms: 0 + 7 = 7 -9x = 7 Divide each side by '-9'. x = -0.7777777778 Simplifying x = -0.7777777778Subproblem 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 = {-0.7777777778, 1.285714286}
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