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Simplifying (9x + -8)(5x + 7) = 0 Reorder the terms: (-8 + 9x)(5x + 7) = 0 Reorder the terms: (-8 + 9x)(7 + 5x) = 0 Multiply (-8 + 9x) * (7 + 5x) (-8(7 + 5x) + 9x * (7 + 5x)) = 0 ((7 * -8 + 5x * -8) + 9x * (7 + 5x)) = 0 ((-56 + -40x) + 9x * (7 + 5x)) = 0 (-56 + -40x + (7 * 9x + 5x * 9x)) = 0 (-56 + -40x + (63x + 45x2)) = 0 Combine like terms: -40x + 63x = 23x (-56 + 23x + 45x2) = 0 Solving -56 + 23x + 45x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -5x)(8 + -9x) = 0Subproblem 1
Set the factor '(-7 + -5x)' equal to zero and attempt to solve: Simplifying -7 + -5x = 0 Solving -7 + -5x = 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 + -5x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5x = 0 + 7 -5x = 0 + 7 Combine like terms: 0 + 7 = 7 -5x = 7 Divide each side by '-5'. x = -1.4 Simplifying x = -1.4Subproblem 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 = {-1.4, 0.8888888889}
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