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Simplifying 16u2 + -1u2v4 = 0 Solving 16u2 + -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(16 + -1v4) = 0 Factor a difference between two squares. u2((4 + v2)(4 + -1v2)) = 0 Factor a difference between two squares. u2((4 + v2)((2 + v)(2 + -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 '(4 + v2)' equal to zero and attempt to solve: Simplifying 4 + v2 = 0 Solving 4 + v2 = 0 Move all terms containing u to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + v2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + v2 = 0 + -4 v2 = 0 + -4 Combine like terms: 0 + -4 = -4 v2 = -4 Add '-1v2' to each side of the equation. v2 + -1v2 = -4 + -1v2 Combine like terms: v2 + -1v2 = 0 0 = -4 + -1v2 Simplifying 0 = -4 + -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 '(2 + v)' equal to zero and attempt to solve: Simplifying 2 + v = 0 Solving 2 + v = 0 Move all terms containing u to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + v = 0 + -2 v = 0 + -2 Combine like terms: 0 + -2 = -2 v = -2 Add '-1v' to each side of the equation. v + -1v = -2 + -1v Combine like terms: v + -1v = 0 0 = -2 + -1v Simplifying 0 = -2 + -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 '(2 + -1v)' equal to zero and attempt to solve: Simplifying 2 + -1v = 0 Solving 2 + -1v = 0 Move all terms containing u to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1v = 0 + -2 -1v = 0 + -2 Combine like terms: 0 + -2 = -2 -1v = -2 Add 'v' to each side of the equation. -1v + v = -2 + v Combine like terms: -1v + v = 0 0 = -2 + v Simplifying 0 = -2 + 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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