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Simplifying -1x4 = 4x2 + 4 Reorder the terms: -1x4 = 4 + 4x2 Solving -1x4 = 4 + 4x2 Solving for variable 'x'. Reorder the terms: -4 + -4x2 + -1x4 = 4 + 4x2 + -4 + -4x2 Reorder the terms: -4 + -4x2 + -1x4 = 4 + -4 + 4x2 + -4x2 Combine like terms: 4 + -4 = 0 -4 + -4x2 + -1x4 = 0 + 4x2 + -4x2 -4 + -4x2 + -1x4 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -4 + -4x2 + -1x4 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(4 + 4x2 + x4) = 0 Factor a trinomial. -1((2 + x2)(2 + x2)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(2 + x2)' equal to zero and attempt to solve: Simplifying 2 + x2 = 0 Solving 2 + x2 = 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 + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x2 = 0 + -2 x2 = 0 + -2 Combine like terms: 0 + -2 = -2 x2 = -2 Simplifying x2 = -2 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 + x2)' equal to zero and attempt to solve: Simplifying 2 + x2 = 0 Solving 2 + x2 = 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 + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x2 = 0 + -2 x2 = 0 + -2 Combine like terms: 0 + -2 = -2 x2 = -2 Simplifying x2 = -2 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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