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Simplifying 48v2 + -3v2w4 = 0 Solving 48v2 + -3v2w4 = 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 + -1w4) = 0 Factor a difference between two squares. 3v2((4 + w2)(4 + -1w2)) = 0 Factor a difference between two squares. 3v2((4 + w2)((2 + w)(2 + -1w))) = 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 + w2)' equal to zero and attempt to solve: Simplifying 4 + w2 = 0 Solving 4 + w2 = 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 + w2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + w2 = 0 + -4 w2 = 0 + -4 Combine like terms: 0 + -4 = -4 w2 = -4 Add '-1w2' to each side of the equation. w2 + -1w2 = -4 + -1w2 Combine like terms: w2 + -1w2 = 0 0 = -4 + -1w2 Simplifying 0 = -4 + -1w2 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 + w)' equal to zero and attempt to solve: Simplifying 2 + w = 0 Solving 2 + w = 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 + w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + w = 0 + -2 w = 0 + -2 Combine like terms: 0 + -2 = -2 w = -2 Add '-1w' to each side of the equation. w + -1w = -2 + -1w Combine like terms: w + -1w = 0 0 = -2 + -1w Simplifying 0 = -2 + -1w 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 + -1w)' equal to zero and attempt to solve: Simplifying 2 + -1w = 0 Solving 2 + -1w = 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 + -1w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1w = 0 + -2 -1w = 0 + -2 Combine like terms: 0 + -2 = -2 -1w = -2 Add 'w' to each side of the equation. -1w + w = -2 + w Combine like terms: -1w + w = 0 0 = -2 + w Simplifying 0 = -2 + w 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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