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Simplifying 660x2 + 524x + 85 = 0 Reorder the terms: 85 + 524x + 660x2 = 0 Solving 85 + 524x + 660x2 = 0 Solving for variable 'x'. Factor a trinomial. (17 + 30x)(5 + 22x) = 0Subproblem 1
Set the factor '(17 + 30x)' equal to zero and attempt to solve: Simplifying 17 + 30x = 0 Solving 17 + 30x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 30x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 30x = 0 + -17 30x = 0 + -17 Combine like terms: 0 + -17 = -17 30x = -17 Divide each side by '30'. x = -0.5666666667 Simplifying x = -0.5666666667Subproblem 2
Set the factor '(5 + 22x)' equal to zero and attempt to solve: Simplifying 5 + 22x = 0 Solving 5 + 22x = 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 + 22x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 22x = 0 + -5 22x = 0 + -5 Combine like terms: 0 + -5 = -5 22x = -5 Divide each side by '22'. x = -0.2272727273 Simplifying x = -0.2272727273Solution
x = {-0.5666666667, -0.2272727273}
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