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Simplifying (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 = 8x2 (16 + 8x2 + x4) = 0 Solving 16 + 8x2 + x4 = 0 Solving for variable 'x'. Factor a trinomial. (4 + x2)(4 + x2) = 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 '(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. The solution to this equation could not be determined.
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