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Simplifying 5x2 + -2x = 3x2 + -6x Reorder the terms: -2x + 5x2 = 3x2 + -6x Reorder the terms: -2x + 5x2 = -6x + 3x2 Solving -2x + 5x2 = -6x + 3x2 Solving for variable 'x'. Reorder the terms: -2x + 6x + 5x2 + -3x2 = -6x + 3x2 + 6x + -3x2 Combine like terms: -2x + 6x = 4x 4x + 5x2 + -3x2 = -6x + 3x2 + 6x + -3x2 Combine like terms: 5x2 + -3x2 = 2x2 4x + 2x2 = -6x + 3x2 + 6x + -3x2 Reorder the terms: 4x + 2x2 = -6x + 6x + 3x2 + -3x2 Combine like terms: -6x + 6x = 0 4x + 2x2 = 0 + 3x2 + -3x2 4x + 2x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 4x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(2 + 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 '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {0, -2}
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