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Simplifying 2u4v4 + -2v4 = 0 Solving 2u4v4 + -2v4 = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '2v4' to each side of the equation. 2u4v4 + -2v4 + 2v4 = 0 + 2v4 Combine like terms: -2v4 + 2v4 = 0 2u4v4 + 0 = 0 + 2v4 2u4v4 = 0 + 2v4 Remove the zero: 2u4v4 = 2v4 Divide each side by '2v4'. u4 = 1 Simplifying u4 = 1 Reorder the terms: -1 + u4 = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + u4 = 0 Factor a difference between two squares. (1 + u2)(-1 + u2) = 0 Factor a difference between two squares. (1 + u2)((1 + u)(-1 + u)) = 0Subproblem 1
Set the factor '(1 + u2)' equal to zero and attempt to solve: Simplifying 1 + u2 = 0 Solving 1 + u2 = 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 + u2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + u2 = 0 + -1 u2 = 0 + -1 Combine like terms: 0 + -1 = -1 u2 = -1 Simplifying u2 = -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 + u)' equal to zero and attempt to solve: Simplifying 1 + u = 0 Solving 1 + u = 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 + u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + u = 0 + -1 u = 0 + -1 Combine like terms: 0 + -1 = -1 u = -1 Simplifying u = -1Subproblem 3
Set the factor '(-1 + u)' equal to zero and attempt to solve: Simplifying -1 + u = 0 Solving -1 + u = 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 + u = 0 + 1 Combine like terms: -1 + 1 = 0 0 + u = 0 + 1 u = 0 + 1 Combine like terms: 0 + 1 = 1 u = 1 Simplifying u = 1Solution
u = {-1, 1}
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