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Simplifying 3v2y4 + -48v2 = 0 Reorder the terms: -48v2 + 3v2y4 = 0 Solving -48v2 + 3v2y4 = 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), '3v2'. 3v2(-16 + y4) = 0 Factor a difference between two squares. 3v2((4 + y2)(-4 + y2)) = 0 Factor a difference between two squares. 3v2((4 + y2)((2 + y)(-2 + y))) = 0 Ignore the factor 3.Subproblem 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 '(4 + y2)' equal to zero and attempt to solve: Simplifying 4 + y2 = 0 Solving 4 + y2 = 0 Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + y2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + y2 = 0 + -4 y2 = 0 + -4 Combine like terms: 0 + -4 = -4 y2 = -4 Add '-1y2' to each side of the equation. y2 + -1y2 = -4 + -1y2 Combine like terms: y2 + -1y2 = 0 0 = -4 + -1y2 Simplifying 0 = -4 + -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 '(2 + y)' equal to zero and attempt to solve: Simplifying 2 + y = 0 Solving 2 + y = 0 Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + y = 0 + -2 y = 0 + -2 Combine like terms: 0 + -2 = -2 y = -2 Add '-1y' to each side of the equation. y + -1y = -2 + -1y Combine like terms: y + -1y = 0 0 = -2 + -1y Simplifying 0 = -2 + -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 '(-2 + y)' equal to zero and attempt to solve: Simplifying -2 + y = 0 Solving -2 + y = 0 Move all terms containing v to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + y = 0 + 2 y = 0 + 2 Combine like terms: 0 + 2 = 2 y = 2 Add '-1y' to each side of the equation. y + -1y = 2 + -1y Combine like terms: y + -1y = 0 0 = 2 + -1y Simplifying 0 = 2 + -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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