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