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Simplifying (-9x + -8)(9x + -2) + (7x + -7)(-9x + -8) = 0 Reorder the terms: (-8 + -9x)(9x + -2) + (7x + -7)(-9x + -8) = 0 Reorder the terms: (-8 + -9x)(-2 + 9x) + (7x + -7)(-9x + -8) = 0 Multiply (-8 + -9x) * (-2 + 9x) (-8(-2 + 9x) + -9x * (-2 + 9x)) + (7x + -7)(-9x + -8) = 0 ((-2 * -8 + 9x * -8) + -9x * (-2 + 9x)) + (7x + -7)(-9x + -8) = 0 ((16 + -72x) + -9x * (-2 + 9x)) + (7x + -7)(-9x + -8) = 0 (16 + -72x + (-2 * -9x + 9x * -9x)) + (7x + -7)(-9x + -8) = 0 (16 + -72x + (18x + -81x2)) + (7x + -7)(-9x + -8) = 0 Combine like terms: -72x + 18x = -54x (16 + -54x + -81x2) + (7x + -7)(-9x + -8) = 0 Reorder the terms: 16 + -54x + -81x2 + (-7 + 7x)(-9x + -8) = 0 Reorder the terms: 16 + -54x + -81x2 + (-7 + 7x)(-8 + -9x) = 0 Multiply (-7 + 7x) * (-8 + -9x) 16 + -54x + -81x2 + (-7(-8 + -9x) + 7x * (-8 + -9x)) = 0 16 + -54x + -81x2 + ((-8 * -7 + -9x * -7) + 7x * (-8 + -9x)) = 0 16 + -54x + -81x2 + ((56 + 63x) + 7x * (-8 + -9x)) = 0 16 + -54x + -81x2 + (56 + 63x + (-8 * 7x + -9x * 7x)) = 0 16 + -54x + -81x2 + (56 + 63x + (-56x + -63x2)) = 0 Combine like terms: 63x + -56x = 7x 16 + -54x + -81x2 + (56 + 7x + -63x2) = 0 Reorder the terms: 16 + 56 + -54x + 7x + -81x2 + -63x2 = 0 Combine like terms: 16 + 56 = 72 72 + -54x + 7x + -81x2 + -63x2 = 0 Combine like terms: -54x + 7x = -47x 72 + -47x + -81x2 + -63x2 = 0 Combine like terms: -81x2 + -63x2 = -144x2 72 + -47x + -144x2 = 0 Solving 72 + -47x + -144x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + -16x)(8 + 9x) = 0Subproblem 1
Set the factor '(9 + -16x)' equal to zero and attempt to solve: Simplifying 9 + -16x = 0 Solving 9 + -16x = 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 + -16x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -16x = 0 + -9 -16x = 0 + -9 Combine like terms: 0 + -9 = -9 -16x = -9 Divide each side by '-16'. x = 0.5625 Simplifying x = 0.5625Subproblem 2
Set the factor '(8 + 9x)' equal to zero and attempt to solve: Simplifying 8 + 9x = 0 Solving 8 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 9x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 9x = 0 + -8 9x = 0 + -8 Combine like terms: 0 + -8 = -8 9x = -8 Divide each side by '9'. x = -0.8888888889 Simplifying x = -0.8888888889Solution
x = {0.5625, -0.8888888889}
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