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Simplifying 33x2 + -74x + 40 = 0 Reorder the terms: 40 + -74x + 33x2 = 0 Solving 40 + -74x + 33x2 = 0 Solving for variable 'x'. Factor a trinomial. (10 + -11x)(4 + -3x) = 0Subproblem 1
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 = 0.9090909091Subproblem 2
Set the factor '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333Solution
x = {0.9090909091, 1.333333333}
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