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Simplifying x2 + 4x = -11x2 Reorder the terms: 4x + x2 = -11x2 Solving 4x + x2 = -11x2 Solving for variable 'x'. Combine like terms: x2 + 11x2 = 12x2 4x + 12x2 = -11x2 + 11x2 Combine like terms: -11x2 + 11x2 = 0 4x + 12x2 = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(1 + 3x) = 0 Ignore the factor 4.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 '(1 + 3x)' equal to zero and attempt to solve: Simplifying 1 + 3x = 0 Solving 1 + 3x = 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 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333Solution
x = {0, -0.3333333333}
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