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Simplifying 33x2 + -52x + 20 = 0 Reorder the terms: 20 + -52x + 33x2 = 0 Solving 20 + -52x + 33x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -3x)(10 + -11x) = 0Subproblem 1
Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 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 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Subproblem 2
Set the factor '(10 + -11x)' equal to zero and attempt to solve: Simplifying 10 + -11x = 0 Solving 10 + -11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -11x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -11x = 0 + -10 -11x = 0 + -10 Combine like terms: 0 + -10 = -10 -11x = -10 Divide each side by '-11'. x = 0.9090909091 Simplifying x = 0.9090909091Solution
x = {0.6666666667, 0.9090909091}
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