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Simplifying v4x2 + -16x2 = 0 Solving v4x2 + -16x2 = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '16x2' to each side of the equation. v4x2 + -16x2 + 16x2 = 0 + 16x2 Combine like terms: -16x2 + 16x2 = 0 v4x2 + 0 = 0 + 16x2 v4x2 = 0 + 16x2 Remove the zero: v4x2 = 16x2 Divide each side by 'x2'. v4 = 16 Simplifying v4 = 16 Reorder the terms: -16 + v4 = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + v4 = 0 Factor a difference between two squares. (4 + v2)(-4 + v2) = 0 Factor a difference between two squares. (4 + v2)((2 + v)(-2 + v)) = 0Subproblem 1
Set the factor '(4 + v2)' equal to zero and attempt to solve: Simplifying 4 + v2 = 0 Solving 4 + v2 = 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 + v2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + v2 = 0 + -4 v2 = 0 + -4 Combine like terms: 0 + -4 = -4 v2 = -4 Simplifying v2 = -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 + v)' equal to zero and attempt to solve: Simplifying 2 + v = 0 Solving 2 + v = 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 + v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + v = 0 + -2 v = 0 + -2 Combine like terms: 0 + -2 = -2 v = -2 Simplifying v = -2Subproblem 3
Set the factor '(-2 + v)' equal to zero and attempt to solve: Simplifying -2 + v = 0 Solving -2 + v = 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 + v = 0 + 2 Combine like terms: -2 + 2 = 0 0 + v = 0 + 2 v = 0 + 2 Combine like terms: 0 + 2 = 2 v = 2 Simplifying v = 2Solution
v = {-2, 2}
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