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Simplifying 11(3x2 + -1x + -2) = 0 Reorder the terms: 11(-2 + -1x + 3x2) = 0 (-2 * 11 + -1x * 11 + 3x2 * 11) = 0 (-22 + -11x + 33x2) = 0 Solving -22 + -11x + 33x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '11'. 11(-2 + -1x + 3x2) = 0 Factor a trinomial. 11((-2 + -3x)(1 + -1x)) = 0 Ignore the factor 11.Subproblem 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 '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {-0.6666666667, 1}
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