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Simplifying 81u2 + -1u2v4 = 0 Solving 81u2 + -1u2v4 = 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), 'u2'. u2(81 + -1v4) = 0 Factor a difference between two squares. u2((9 + v2)(9 + -1v2)) = 0 Factor a difference between two squares. u2((9 + v2)((3 + v)(3 + -1v))) = 0Subproblem 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 '(9 + v2)' equal to zero and attempt to solve: Simplifying 9 + v2 = 0 Solving 9 + v2 = 0 Move all terms containing u to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + v2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + v2 = 0 + -9 v2 = 0 + -9 Combine like terms: 0 + -9 = -9 v2 = -9 Add '-1v2' to each side of the equation. v2 + -1v2 = -9 + -1v2 Combine like terms: v2 + -1v2 = 0 0 = -9 + -1v2 Simplifying 0 = -9 + -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 '(3 + v)' equal to zero and attempt to solve: Simplifying 3 + v = 0 Solving 3 + v = 0 Move all terms containing u to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + v = 0 + -3 v = 0 + -3 Combine like terms: 0 + -3 = -3 v = -3 Add '-1v' to each side of the equation. v + -1v = -3 + -1v Combine like terms: v + -1v = 0 0 = -3 + -1v Simplifying 0 = -3 + -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 '(3 + -1v)' equal to zero and attempt to solve: Simplifying 3 + -1v = 0 Solving 3 + -1v = 0 Move all terms containing u to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1v = 0 + -3 -1v = 0 + -3 Combine like terms: 0 + -3 = -3 -1v = -3 Add 'v' to each side of the equation. -1v + v = -3 + v Combine like terms: -1v + v = 0 0 = -3 + v Simplifying 0 = -3 + 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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