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Simplifying x(x + 2) + 2(x + 2) = 0 Reorder the terms: x(2 + x) + 2(x + 2) = 0 (2 * x + x * x) + 2(x + 2) = 0 (2x + x2) + 2(x + 2) = 0 Reorder the terms: 2x + x2 + 2(2 + x) = 0 2x + x2 + (2 * 2 + x * 2) = 0 2x + x2 + (4 + 2x) = 0 Reorder the terms: 4 + 2x + 2x + x2 = 0 Combine like terms: 2x + 2x = 4x 4 + 4x + x2 = 0 Solving 4 + 4x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + x)(2 + x) = 0Subproblem 1
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 = -2Subproblem 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 = {-2, -2}
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