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Simplifying 33x2 + -37x + 10 = 0 Reorder the terms: 10 + -37x + 33x2 = 0 Solving 10 + -37x + 33x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -11x)(2 + -3x) = 0Subproblem 1
Set the factor '(5 + -11x)' equal to zero and attempt to solve: Simplifying 5 + -11x = 0 Solving 5 + -11x = 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 + -11x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -11x = 0 + -5 -11x = 0 + -5 Combine like terms: 0 + -5 = -5 -11x = -5 Divide each side by '-11'. x = 0.4545454545 Simplifying x = 0.4545454545Subproblem 2
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 = 0.6666666667Solution
x = {0.4545454545, 0.6666666667}
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