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Simplifying 2X2 + 9X = -11X Reorder the terms: 9X + 2X2 = -11X Solving 9X + 2X2 = -11X Solving for variable 'X'. Reorder the terms: 9X + 11X + 2X2 = -11X + 11X Combine like terms: 9X + 11X = 20X 20X + 2X2 = -11X + 11X Combine like terms: -11X + 11X = 0 20X + 2X2 = 0 Factor out the Greatest Common Factor (GCF), '2X'. 2X(10 + X) = 0 Ignore the factor 2.Subproblem 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 '(10 + X)' equal to zero and attempt to solve: Simplifying 10 + X = 0 Solving 10 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + X = 0 + -10 Combine like terms: 10 + -10 = 0 0 + X = 0 + -10 X = 0 + -10 Combine like terms: 0 + -10 = -10 X = -10 Simplifying X = -10Solution
X = {0, -10}
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