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Simplifying 3X2 + -11X + -2 = -8 Reorder the terms: -2 + -11X + 3X2 = -8 Solving -2 + -11X + 3X2 = -8 Solving for variable 'X'. Reorder the terms: -2 + 8 + -11X + 3X2 = -8 + 8 Combine like terms: -2 + 8 = 6 6 + -11X + 3X2 = -8 + 8 Combine like terms: -8 + 8 = 0 6 + -11X + 3X2 = 0 Factor a trinomial. (2 + -3X)(3 + -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 '(3 + -1X)' equal to zero and attempt to solve: Simplifying 3 + -1X = 0 Solving 3 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1X = 0 + -3 -1X = 0 + -3 Combine like terms: 0 + -3 = -3 -1X = -3 Divide each side by '-1'. X = 3 Simplifying X = 3Solution
X = {0.6666666667, 3}
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