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Simplifying 50v3 + -2v = 0 Reorder the terms: -2v + 50v3 = 0 Solving -2v + 50v3 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '2v'. 2v(-1 + 25v2) = 0 Factor a difference between two squares. 2v((1 + 5v)(-1 + 5v)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'v' equal to zero and attempt to solve: Simplifying v = 0 Solving v = 0 Move all terms containing v to the left, all other terms to the right. Simplifying v = 0Subproblem 2
Set the factor '(1 + 5v)' equal to zero and attempt to solve: Simplifying 1 + 5v = 0 Solving 1 + 5v = 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 + 5v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5v = 0 + -1 5v = 0 + -1 Combine like terms: 0 + -1 = -1 5v = -1 Divide each side by '5'. v = -0.2 Simplifying v = -0.2Subproblem 3
Set the factor '(-1 + 5v)' equal to zero and attempt to solve: Simplifying -1 + 5v = 0 Solving -1 + 5v = 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 + 5v = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5v = 0 + 1 5v = 0 + 1 Combine like terms: 0 + 1 = 1 5v = 1 Divide each side by '5'. v = 0.2 Simplifying v = 0.2Solution
v = {0, -0.2, 0.2}
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