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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. (3 + X)(2 + 3X) = 0Subproblem 1
Set the factor '(3 + X)' equal to zero and attempt to solve: Simplifying 3 + X = 0 Solving 3 + X = 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 + X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + X = 0 + -3 X = 0 + -3 Combine like terms: 0 + -3 = -3 X = -3 Simplifying X = -3Subproblem 2
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 = -0.6666666667Solution
X = {-3, -0.6666666667}
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