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Simplifying v2y4 + -81v2 = 0 Reorder the terms: -81v2 + v2y4 = 0 Solving -81v2 + v2y4 = 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(-81 + y4) = 0 Factor a difference between two squares. v2((9 + y2)(-9 + y2)) = 0 Factor a difference between two squares. v2((9 + y2)((3 + y)(-3 + y))) = 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 '(9 + y2)' equal to zero and attempt to solve: Simplifying 9 + y2 = 0 Solving 9 + y2 = 0 Move all terms containing v to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + y2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + y2 = 0 + -9 y2 = 0 + -9 Combine like terms: 0 + -9 = -9 y2 = -9 Add '-1y2' to each side of the equation. y2 + -1y2 = -9 + -1y2 Combine like terms: y2 + -1y2 = 0 0 = -9 + -1y2 Simplifying 0 = -9 + -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 '(3 + y)' equal to zero and attempt to solve: Simplifying 3 + y = 0 Solving 3 + y = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + y = 0 + -3 y = 0 + -3 Combine like terms: 0 + -3 = -3 y = -3 Add '-1y' to each side of the equation. y + -1y = -3 + -1y Combine like terms: y + -1y = 0 0 = -3 + -1y Simplifying 0 = -3 + -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 '(-3 + y)' equal to zero and attempt to solve: Simplifying -3 + y = 0 Solving -3 + y = 0 Move all terms containing v to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + y = 0 + 3 y = 0 + 3 Combine like terms: 0 + 3 = 3 y = 3 Add '-1y' to each side of the equation. y + -1y = 3 + -1y Combine like terms: y + -1y = 0 0 = 3 + -1y Simplifying 0 = 3 + -1y 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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