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Simplifying 2x = 1x + -1x2 + -4x Reorder the terms: 2x = 1x + -4x + -1x2 Combine like terms: 1x + -4x = -3x 2x = -3x + -1x2 Solving 2x = -3x + -1x2 Solving for variable 'x'. Combine like terms: 2x + 3x = 5x 5x + x2 = -3x + -1x2 + 3x + x2 Reorder the terms: 5x + x2 = -3x + 3x + -1x2 + x2 Combine like terms: -3x + 3x = 0 5x + x2 = 0 + -1x2 + x2 5x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 5x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(5 + x) = 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 '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {0, -5}
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