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Simplifying 33x2 + -46x + 16 = 0 Reorder the terms: 16 + -46x + 33x2 = 0 Solving 16 + -46x + 33x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -3x)(8 + -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 '(8 + -11x)' equal to zero and attempt to solve: Simplifying 8 + -11x = 0 Solving 8 + -11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -11x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -11x = 0 + -8 -11x = 0 + -8 Combine like terms: 0 + -8 = -8 -11x = -8 Divide each side by '-11'. x = 0.7272727273 Simplifying x = 0.7272727273Solution
x = {0.6666666667, 0.7272727273}
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