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Simplifying 3u2 + -3u2v4 = 0 Solving 3u2 + -3u2v4 = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '3u2'. 3u2(1 + -1v4) = 0 Factor a difference between two squares. 3u2((1 + v2)(1 + -1v2)) = 0 Factor a difference between two squares. 3u2((1 + v2)((1 + v)(1 + -1v))) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'u2' equal to zero and attempt to solve: Simplifying u2 = 0 Solving u2 = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u2 = 0 Take the square root of each side: u = {0}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 u 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 Add '-1v2' to each side of the equation. v2 + -1v2 = -1 + -1v2 Combine like terms: v2 + -1v2 = 0 0 = -1 + -1v2 Simplifying 0 = -1 + -1v2 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 '(1 + v)' equal to zero and attempt to solve: Simplifying 1 + v = 0 Solving 1 + v = 0 Move all terms containing u to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + v = 0 + -1 v = 0 + -1 Combine like terms: 0 + -1 = -1 v = -1 Add '-1v' to each side of the equation. v + -1v = -1 + -1v Combine like terms: v + -1v = 0 0 = -1 + -1v Simplifying 0 = -1 + -1v 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 '(1 + -1v)' equal to zero and attempt to solve: Simplifying 1 + -1v = 0 Solving 1 + -1v = 0 Move all terms containing u to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1v = 0 + -1 -1v = 0 + -1 Combine like terms: 0 + -1 = -1 -1v = -1 Add 'v' to each side of the equation. -1v + v = -1 + v Combine like terms: -1v + v = 0 0 = -1 + v Simplifying 0 = -1 + v The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
u = {0}
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