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Simplifying (x + -2) * x + (x + 2) * 3x = 0 Reorder the terms: (-2 + x) * x + (x + 2) * 3x = 0 Reorder the terms for easier multiplication: x(-2 + x) + (x + 2) * 3x = 0 (-2 * x + x * x) + (x + 2) * 3x = 0 (-2x + x2) + (x + 2) * 3x = 0 Reorder the terms: -2x + x2 + (2 + x) * 3x = 0 Reorder the terms for easier multiplication: -2x + x2 + 3x(2 + x) = 0 -2x + x2 + (2 * 3x + x * 3x) = 0 -2x + x2 + (6x + 3x2) = 0 Reorder the terms: -2x + 6x + x2 + 3x2 = 0 Combine like terms: -2x + 6x = 4x 4x + x2 + 3x2 = 0 Combine like terms: x2 + 3x2 = 4x2 4x + 4x2 = 0 Solving 4x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(1 + x) = 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 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {0, -1}
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