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Simplifying (x + 2)(x + 3x) = 0 Reorder the terms: (2 + x)(x + 3x) = 0 Combine like terms: x + 3x = 4x (2 + x)(4x) = 0 Remove parenthesis around (4x) (2 + x) * 4x = 0 Reorder the terms for easier multiplication: 4x(2 + x) = 0 (2 * 4x + x * 4x) = 0 (8x + 4x2) = 0 Solving 8x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(2 + 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 '(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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