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Simplifying 4v2 + -9v = 6v Reorder the terms: -9v + 4v2 = 6v Solving -9v + 4v2 = 6v Solving for variable 'v'. Reorder the terms: -9v + -6v + 4v2 = 6v + -6v Combine like terms: -9v + -6v = -15v -15v + 4v2 = 6v + -6v Combine like terms: 6v + -6v = 0 -15v + 4v2 = 0 Factor out the Greatest Common Factor (GCF), 'v'. v(-15 + 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 '(-15 + 4v)' equal to zero and attempt to solve: Simplifying -15 + 4v = 0 Solving -15 + 4v = 0 Move all terms containing v to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 4v = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 4v = 0 + 15 4v = 0 + 15 Combine like terms: 0 + 15 = 15 4v = 15 Divide each side by '4'. v = 3.75 Simplifying v = 3.75Solution
v = {0, 3.75}
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