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Simplifying v4w4 + -81v4 = 0 Reorder the terms: -81v4 + v4w4 = 0 Solving -81v4 + v4w4 = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'v4'. v4(-81 + w4) = 0 Factor a difference between two squares. v4((9 + w2)(-9 + w2)) = 0 Factor a difference between two squares. v4((9 + w2)((3 + w)(-3 + w))) = 0Subproblem 1
Set the factor 'v4' equal to zero and attempt to solve: Simplifying v4 = 0 Solving v4 = 0 Move all terms containing v to the left, all other terms to the right. Simplifying v4 = 0 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 '(9 + w2)' equal to zero and attempt to solve: Simplifying 9 + w2 = 0 Solving 9 + w2 = 0 Move all terms containing v to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + w2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + w2 = 0 + -9 w2 = 0 + -9 Combine like terms: 0 + -9 = -9 w2 = -9 Add '-1w2' to each side of the equation. w2 + -1w2 = -9 + -1w2 Combine like terms: w2 + -1w2 = 0 0 = -9 + -1w2 Simplifying 0 = -9 + -1w2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(3 + w)' equal to zero and attempt to solve: Simplifying 3 + w = 0 Solving 3 + w = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + w = 0 + -3 w = 0 + -3 Combine like terms: 0 + -3 = -3 w = -3 Add '-1w' to each side of the equation. w + -1w = -3 + -1w Combine like terms: w + -1w = 0 0 = -3 + -1w Simplifying 0 = -3 + -1w The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 4
Set the factor '(-3 + w)' equal to zero and attempt to solve: Simplifying -3 + w = 0 Solving -3 + w = 0 Move all terms containing v to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + w = 0 + 3 Combine like terms: -3 + 3 = 0 0 + w = 0 + 3 w = 0 + 3 Combine like terms: 0 + 3 = 3 w = 3 Add '-1w' to each side of the equation. w + -1w = 3 + -1w Combine like terms: w + -1w = 0 0 = 3 + -1w Simplifying 0 = 3 + -1w 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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