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Simplifying 2x2 + 3x = (-5x) Reorder the terms: 3x + 2x2 = (-5x) Solving 3x + 2x2 = (-5x) Solving for variable 'x'. Reorder the terms: 3x + (5x) + 2x2 = (-5x) + (5x) Combine like terms: 3x + (5x) = 8x 8x + 2x2 = (-5x) + (5x) Combine like terms: (-5x) + (5x) = 0 8x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(4 + x) = 0 Ignore the factor 2.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 '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {0, -4}
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