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Simplifying x = x2 + 4x Reorder the terms: x = 4x + x2 Solving x = 4x + x2 Solving for variable 'x'. Combine like terms: x + -4x = -3x -3x + -1x2 = 4x + x2 + -4x + -1x2 Reorder the terms: -3x + -1x2 = 4x + -4x + x2 + -1x2 Combine like terms: 4x + -4x = 0 -3x + -1x2 = 0 + x2 + -1x2 -3x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -3x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(3 + x) = 0 Ignore the factor -1.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 '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {0, -3}
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