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Simplifying 27x2 + -160x + 125 = 0 Reorder the terms: 125 + -160x + 27x2 = 0 Solving 125 + -160x + 27x2 = 0 Solving for variable 'x'. Factor a trinomial. (25 + -27x)(5 + -1x) = 0Subproblem 1
Set the factor '(25 + -27x)' equal to zero and attempt to solve: Simplifying 25 + -27x = 0 Solving 25 + -27x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -27x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -27x = 0 + -25 -27x = 0 + -25 Combine like terms: 0 + -25 = -25 -27x = -25 Divide each side by '-27'. x = 0.9259259259 Simplifying x = 0.9259259259Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {0.9259259259, 5}
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