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Simplifying 4v3 + 10v2 = 0 Reorder the terms: 10v2 + 4v3 = 0 Solving 10v2 + 4v3 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '2v2'. 2v2(5 + 2v) = 0 Ignore the factor 2.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 '(5 + 2v)' equal to zero and attempt to solve: Simplifying 5 + 2v = 0 Solving 5 + 2v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2v = 0 + -5 2v = 0 + -5 Combine like terms: 0 + -5 = -5 2v = -5 Divide each side by '2'. v = -2.5 Simplifying v = -2.5Solution
v = {0, -2.5}
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