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Simplifying 4v2 + -4v = 15v Reorder the terms: -4v + 4v2 = 15v Solving -4v + 4v2 = 15v Solving for variable 'v'. Reorder the terms: -4v + -15v + 4v2 = 15v + -15v Combine like terms: -4v + -15v = -19v -19v + 4v2 = 15v + -15v Combine like terms: 15v + -15v = 0 -19v + 4v2 = 0 Factor out the Greatest Common Factor (GCF), 'v'. v(-19 + 4v) = 0Subproblem 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 '(-19 + 4v)' equal to zero and attempt to solve: Simplifying -19 + 4v = 0 Solving -19 + 4v = 0 Move all terms containing v to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 4v = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 4v = 0 + 19 4v = 0 + 19 Combine like terms: 0 + 19 = 19 4v = 19 Divide each side by '4'. v = 4.75 Simplifying v = 4.75Solution
v = {0, 4.75}
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