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Simplifying 2X + -11X2 = 6X3 Solving 2X + -11X2 = 6X3 Solving for variable 'X'. Combine like terms: 6X3 + -6X3 = 0 2X + -11X2 + -6X3 = 0 Factor out the Greatest Common Factor (GCF), 'X'. X(2 + -11X + -6X2) = 0 Factor a trinomial. X((1 + -6X)(2 + X)) = 0Subproblem 1
Set the factor 'X' equal to zero and attempt to solve: Simplifying X = 0 Solving X = 0 Move all terms containing X to the left, all other terms to the right. Simplifying X = 0Subproblem 2
Set the factor '(1 + -6X)' equal to zero and attempt to solve: Simplifying 1 + -6X = 0 Solving 1 + -6X = 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 + -6X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6X = 0 + -1 -6X = 0 + -1 Combine like terms: 0 + -1 = -1 -6X = -1 Divide each side by '-6'. X = 0.1666666667 Simplifying X = 0.1666666667Subproblem 3
Set the factor '(2 + X)' equal to zero and attempt to solve: Simplifying 2 + X = 0 Solving 2 + X = 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 + X = 0 + -2 Combine like terms: 2 + -2 = 0 0 + X = 0 + -2 X = 0 + -2 Combine like terms: 0 + -2 = -2 X = -2 Simplifying X = -2Solution
X = {0, 0.1666666667, -2}
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