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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 = 37x (5 + 37x + -72x2) = 0 Solving 5 + 37x + -72x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -8x)(1 + 9x) = 0Subproblem 1
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 = 0.625Subproblem 2
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 = -0.1111111111Solution
x = {0.625, -0.1111111111}
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