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Simplifying (x + -2)(x + 2)(x2 + 4) = 0 Reorder the terms: (-2 + x)(x + 2)(x2 + 4) = 0 Reorder the terms: (-2 + x)(2 + x)(x2 + 4) = 0 Reorder the terms: (-2 + x)(2 + x)(4 + x2) = 0 Multiply (-2 + x) * (2 + x) (-2(2 + x) + x(2 + x))(4 + x2) = 0 ((2 * -2 + x * -2) + x(2 + x))(4 + x2) = 0 ((-4 + -2x) + x(2 + x))(4 + x2) = 0 (-4 + -2x + (2 * x + x * x))(4 + x2) = 0 (-4 + -2x + (2x + x2))(4 + x2) = 0 Combine like terms: -2x + 2x = 0 (-4 + 0 + x2)(4 + x2) = 0 (-4 + x2)(4 + x2) = 0 Multiply (-4 + x2) * (4 + x2) (-4(4 + x2) + x2(4 + x2)) = 0 ((4 * -4 + x2 * -4) + x2(4 + x2)) = 0 ((-16 + -4x2) + x2(4 + x2)) = 0 (-16 + -4x2 + (4 * x2 + x2 * x2)) = 0 (-16 + -4x2 + (4x2 + x4)) = 0 Combine like terms: -4x2 + 4x2 = 0 (-16 + 0 + x4) = 0 (-16 + x4) = 0 Solving -16 + x4 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + x4 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + x4 = 0 + 16 x4 = 0 + 16 Combine like terms: 0 + 16 = 16 x4 = 16 Simplifying x4 = 16 Reorder the terms: -16 + x4 = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + x4 = 0 Factor a difference between two squares. (4 + x2)(-4 + x2) = 0 Factor a difference between two squares. (4 + x2)((2 + x)(-2 + x)) = 0Subproblem 1
Set the factor '(4 + x2)' equal to zero and attempt to solve: Simplifying 4 + x2 = 0 Solving 4 + x2 = 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 + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x2 = 0 + -4 x2 = 0 + -4 Combine like terms: 0 + -4 = -4 x2 = -4 Simplifying x2 = -4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 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 = -2Subproblem 3
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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