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Simplifying -20v8 + 5v6 = 0 Reorder the terms: 5v6 + -20v8 = 0 Solving 5v6 + -20v8 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '5v6'. 5v6(1 + -4v2) = 0 Factor a difference between two squares. 5v6((1 + 2v)(1 + -2v)) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'v6' equal to zero and attempt to solve: Simplifying v6 = 0 Solving v6 = 0 Move all terms containing v to the left, all other terms to the right. Simplifying v6 = 0 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 '(1 + 2v)' equal to zero and attempt to solve: Simplifying 1 + 2v = 0 Solving 1 + 2v = 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 + 2v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2v = 0 + -1 2v = 0 + -1 Combine like terms: 0 + -1 = -1 2v = -1 Divide each side by '2'. v = -0.5 Simplifying v = -0.5Subproblem 3
Set the factor '(1 + -2v)' equal to zero and attempt to solve: Simplifying 1 + -2v = 0 Solving 1 + -2v = 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 + -2v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2v = 0 + -1 -2v = 0 + -1 Combine like terms: 0 + -1 = -1 -2v = -1 Divide each side by '-2'. v = 0.5 Simplifying v = 0.5Solution
v = {-0.5, 0.5}
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