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Simplifying 3x2 + -319x + -214 = 0 Reorder the terms: -214 + -319x + 3x2 = 0 Solving -214 + -319x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -3x)(107 + -1x) = 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 '(107 + -1x)' equal to zero and attempt to solve: Simplifying 107 + -1x = 0 Solving 107 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-107' to each side of the equation. 107 + -107 + -1x = 0 + -107 Combine like terms: 107 + -107 = 0 0 + -1x = 0 + -107 -1x = 0 + -107 Combine like terms: 0 + -107 = -107 -1x = -107 Divide each side by '-1'. x = 107 Simplifying x = 107Solution
x = {-0.6666666667, 107}
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