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Simplifying (9x + -8)(7x + 1) = 0 Reorder the terms: (-8 + 9x)(7x + 1) = 0 Reorder the terms: (-8 + 9x)(1 + 7x) = 0 Multiply (-8 + 9x) * (1 + 7x) (-8(1 + 7x) + 9x * (1 + 7x)) = 0 ((1 * -8 + 7x * -8) + 9x * (1 + 7x)) = 0 ((-8 + -56x) + 9x * (1 + 7x)) = 0 (-8 + -56x + (1 * 9x + 7x * 9x)) = 0 (-8 + -56x + (9x + 63x2)) = 0 Combine like terms: -56x + 9x = -47x (-8 + -47x + 63x2) = 0 Solving -8 + -47x + 63x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -7x)(8 + -9x) = 0Subproblem 1
Set the factor '(-1 + -7x)' equal to zero and attempt to solve: Simplifying -1 + -7x = 0 Solving -1 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -7x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -7x = 0 + 1 -7x = 0 + 1 Combine like terms: 0 + 1 = 1 -7x = 1 Divide each side by '-7'. x = -0.1428571429 Simplifying x = -0.1428571429Subproblem 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 = {-0.1428571429, 0.8888888889}
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