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Simplifying 4v4 + 8v2 + 4 = 0 Reorder the terms: 4 + 8v2 + 4v4 = 0 Solving 4 + 8v2 + 4v4 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '4'. 4(1 + 2v2 + v4) = 0 Factor a trinomial. 4((1 + v2)(1 + v2)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(1 + v2)' equal to zero and attempt to solve: Simplifying 1 + v2 = 0 Solving 1 + v2 = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + v2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + v2 = 0 + -1 v2 = 0 + -1 Combine like terms: 0 + -1 = -1 v2 = -1 Simplifying v2 = -1 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 '(1 + v2)' equal to zero and attempt to solve: Simplifying 1 + v2 = 0 Solving 1 + v2 = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + v2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + v2 = 0 + -1 v2 = 0 + -1 Combine like terms: 0 + -1 = -1 v2 = -1 Simplifying v2 = -1 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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