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Simplifying 0 = x2 + 4x + 4 Reorder the terms: 0 = 4 + 4x + x2 Solving 0 = 4 + 4x + x2 Solving for variable 'x'. Combine like terms: 0 + -4 = -4 -4 + -4x + -1x2 = 4 + 4x + x2 + -4 + -4x + -1x2 Reorder the terms: -4 + -4x + -1x2 = 4 + -4 + 4x + -4x + x2 + -1x2 Combine like terms: 4 + -4 = 0 -4 + -4x + -1x2 = 0 + 4x + -4x + x2 + -1x2 -4 + -4x + -1x2 = 4x + -4x + x2 + -1x2 Combine like terms: 4x + -4x = 0 -4 + -4x + -1x2 = 0 + x2 + -1x2 -4 + -4x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -4 + -4x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(4 + 4x + x2) = 0 Factor a trinomial. -1((2 + x)(2 + x)) = 0 Ignore the factor -1.Subproblem 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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