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Simplifying 33x2 + -76x + 35 = 0 Reorder the terms: 35 + -76x + 33x2 = 0 Solving 35 + -76x + 33x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + -11x)(5 + -3x) = 0Subproblem 1
Set the factor '(7 + -11x)' equal to zero and attempt to solve: Simplifying 7 + -11x = 0 Solving 7 + -11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -11x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -11x = 0 + -7 -11x = 0 + -7 Combine like terms: 0 + -7 = -7 -11x = -7 Divide each side by '-11'. x = 0.6363636364 Simplifying x = 0.6363636364Subproblem 2
Set the factor '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 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 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667Solution
x = {0.6363636364, 1.666666667}
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