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Simplifying (v2 + -1v2y4) = 0 Remove parenthesis around (v2 + -1v2y4) v2 + -1v2y4 = 0 Solving v2 + -1v2y4 = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'v2'. v2(1 + -1y4) = 0 Factor a difference between two squares. v2((1 + y2)(1 + -1y2)) = 0 Factor a difference between two squares. v2((1 + y2)((1 + y)(1 + -1y))) = 0Subproblem 1
Set the factor 'v2' equal to zero and attempt to solve: Simplifying v2 = 0 Solving v2 = 0 Move all terms containing v to the left, all other terms to the right. Simplifying v2 = 0 Take the square root of each side: v = {0}Subproblem 2
Set the factor '(1 + y2)' equal to zero and attempt to solve: Simplifying 1 + y2 = 0 Solving 1 + y2 = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y2 = 0 + -1 y2 = 0 + -1 Combine like terms: 0 + -1 = -1 y2 = -1 Add '-1y2' to each side of the equation. y2 + -1y2 = -1 + -1y2 Combine like terms: y2 + -1y2 = 0 0 = -1 + -1y2 Simplifying 0 = -1 + -1y2 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 + y)' equal to zero and attempt to solve: Simplifying 1 + y = 0 Solving 1 + y = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y = 0 + -1 y = 0 + -1 Combine like terms: 0 + -1 = -1 y = -1 Add '-1y' to each side of the equation. y + -1y = -1 + -1y Combine like terms: y + -1y = 0 0 = -1 + -1y Simplifying 0 = -1 + -1y 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 + -1y)' equal to zero and attempt to solve: Simplifying 1 + -1y = 0 Solving 1 + -1y = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 0 + -1 -1y = 0 + -1 Combine like terms: 0 + -1 = -1 -1y = -1 Add 'y' to each side of the equation. -1y + y = -1 + y Combine like terms: -1y + y = 0 0 = -1 + y Simplifying 0 = -1 + y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
v = {0}
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