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Simplifying 0 = -11x + -2x2 Solving 0 = -11x + -2x2 Solving for variable 'x'. Remove the zero: 11x + 2x2 = -11x + -2x2 + 11x + 2x2 Reorder the terms: 11x + 2x2 = -11x + 11x + -2x2 + 2x2 Combine like terms: -11x + 11x = 0 11x + 2x2 = 0 + -2x2 + 2x2 11x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 11x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(11 + 2x) = 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 '(11 + 2x)' equal to zero and attempt to solve: Simplifying 11 + 2x = 0 Solving 11 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 2x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2x = 0 + -11 2x = 0 + -11 Combine like terms: 0 + -11 = -11 2x = -11 Divide each side by '2'. x = -5.5 Simplifying x = -5.5Solution
x = {0, -5.5}
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