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Simplifying 48v3 + -3u4v3 = 0 Reorder the terms: -3u4v3 + 48v3 = 0 Solving -3u4v3 + 48v3 = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-48v3' to each side of the equation. -3u4v3 + 48v3 + -48v3 = 0 + -48v3 Combine like terms: 48v3 + -48v3 = 0 -3u4v3 + 0 = 0 + -48v3 -3u4v3 = 0 + -48v3 Remove the zero: -3u4v3 = -48v3 Divide each side by '-3v3'. u4 = 16 Simplifying u4 = 16 Reorder the terms: -16 + u4 = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + u4 = 0 Factor a difference between two squares. (4 + u2)(-4 + u2) = 0 Factor a difference between two squares. (4 + u2)((2 + u)(-2 + u)) = 0Subproblem 1
Set the factor '(4 + u2)' equal to zero and attempt to solve: Simplifying 4 + u2 = 0 Solving 4 + u2 = 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 + u2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + u2 = 0 + -4 u2 = 0 + -4 Combine like terms: 0 + -4 = -4 u2 = -4 Simplifying u2 = -4 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 '(2 + u)' equal to zero and attempt to solve: Simplifying 2 + u = 0 Solving 2 + u = 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 + u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + u = 0 + -2 u = 0 + -2 Combine like terms: 0 + -2 = -2 u = -2 Simplifying u = -2Subproblem 3
Set the factor '(-2 + u)' equal to zero and attempt to solve: Simplifying -2 + u = 0 Solving -2 + u = 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 + u = 0 + 2 Combine like terms: -2 + 2 = 0 0 + u = 0 + 2 u = 0 + 2 Combine like terms: 0 + 2 = 2 u = 2 Simplifying u = 2Solution
u = {-2, 2}
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