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Simplifying (8x + -5)(9x + -1) = 0 Reorder the terms: (-5 + 8x)(9x + -1) = 0 Reorder the terms: (-5 + 8x)(-1 + 9x) = 0 Multiply (-5 + 8x) * (-1 + 9x) (-5(-1 + 9x) + 8x * (-1 + 9x)) = 0 ((-1 * -5 + 9x * -5) + 8x * (-1 + 9x)) = 0 ((5 + -45x) + 8x * (-1 + 9x)) = 0 (5 + -45x + (-1 * 8x + 9x * 8x)) = 0 (5 + -45x + (-8x + 72x2)) = 0 Combine like terms: -45x + -8x = -53x (5 + -53x + 72x2) = 0 Solving 5 + -53x + 72x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -9x)(5 + -8x) = 0Subproblem 1
Set the factor '(1 + -9x)' equal to zero and attempt to solve: Simplifying 1 + -9x = 0 Solving 1 + -9x = 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 + -9x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -9x = 0 + -1 -9x = 0 + -1 Combine like terms: 0 + -1 = -1 -9x = -1 Divide each side by '-9'. x = 0.1111111111 Simplifying x = 0.1111111111Subproblem 2
Set the factor '(5 + -8x)' equal to zero and attempt to solve: Simplifying 5 + -8x = 0 Solving 5 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -8x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8x = 0 + -5 -8x = 0 + -5 Combine like terms: 0 + -5 = -5 -8x = -5 Divide each side by '-8'. x = 0.625 Simplifying x = 0.625Solution
x = {0.1111111111, 0.625}
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