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Simplifying 0 = 3x2 + 33x + 0 Reorder the terms: 0 = 0 + 33x + 3x2 Remove the zero: 0 = 33x + 3x2 Solving 0 = 33x + 3x2 Solving for variable 'x'. Remove the zero: -33x + -3x2 = 33x + 3x2 + -33x + -3x2 Reorder the terms: -33x + -3x2 = 33x + -33x + 3x2 + -3x2 Combine like terms: 33x + -33x = 0 -33x + -3x2 = 0 + 3x2 + -3x2 -33x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -33x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '-3x'. -3x(11 + x) = 0 Ignore the factor -3.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 '(11 + x)' equal to zero and attempt to solve: Simplifying 11 + x = 0 Solving 11 + x = 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 + x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + x = 0 + -11 x = 0 + -11 Combine like terms: 0 + -11 = -11 x = -11 Simplifying x = -11Solution
x = {0, -11}
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