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Simplifying (x + 4)(x + 4) + -4 = 0 Reorder the terms: (4 + x)(x + 4) + -4 = 0 Reorder the terms: (4 + x)(4 + x) + -4 = 0 Multiply (4 + x) * (4 + x) (4(4 + x) + x(4 + x)) + -4 = 0 ((4 * 4 + x * 4) + x(4 + x)) + -4 = 0 ((16 + 4x) + x(4 + x)) + -4 = 0 (16 + 4x + (4 * x + x * x)) + -4 = 0 (16 + 4x + (4x + x2)) + -4 = 0 Combine like terms: 4x + 4x = 8x (16 + 8x + x2) + -4 = 0 Reorder the terms: 16 + -4 + 8x + x2 = 0 Combine like terms: 16 + -4 = 12 12 + 8x + x2 = 0 Solving 12 + 8x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (6 + x)(2 + x) = 0Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Subproblem 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 = {-6, -2}
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