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Simplifying 125(x2 + -2x + 1) = 80 Reorder the terms: 125(1 + -2x + x2) = 80 (1 * 125 + -2x * 125 + x2 * 125) = 80 (125 + -250x + 125x2) = 80 Solving 125 + -250x + 125x2 = 80 Solving for variable 'x'. Reorder the terms: 125 + -80 + -250x + 125x2 = 80 + -80 Combine like terms: 125 + -80 = 45 45 + -250x + 125x2 = 80 + -80 Combine like terms: 80 + -80 = 0 45 + -250x + 125x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(9 + -50x + 25x2) = 0 Factor a trinomial. 5((1 + -5x)(9 + -5x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 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 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2Subproblem 2
Set the factor '(9 + -5x)' equal to zero and attempt to solve: Simplifying 9 + -5x = 0 Solving 9 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5x = 0 + -9 -5x = 0 + -9 Combine like terms: 0 + -9 = -9 -5x = -9 Divide each side by '-5'. x = 1.8 Simplifying x = 1.8Solution
x = {0.2, 1.8}
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