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Simplifying 20x2 + -93x + 34 = 0 Reorder the terms: 34 + -93x + 20x2 = 0 Solving 34 + -93x + 20x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -5x)(17 + -4x) = 0Subproblem 1
Set the factor '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4Subproblem 2
Set the factor '(17 + -4x)' equal to zero and attempt to solve: Simplifying 17 + -4x = 0 Solving 17 + -4x = 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 + -4x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -4x = 0 + -17 -4x = 0 + -17 Combine like terms: 0 + -17 = -17 -4x = -17 Divide each side by '-4'. x = 4.25 Simplifying x = 4.25Solution
x = {0.4, 4.25}
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