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Simplifying 12v2 + 39v2 + -36v = 0 Reorder the terms: -36v + 12v2 + 39v2 = 0 Combine like terms: 12v2 + 39v2 = 51v2 -36v + 51v2 = 0 Solving -36v + 51v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '3v'. 3v(-12 + 17v) = 0 Ignore the factor 3.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 '(-12 + 17v)' equal to zero and attempt to solve: Simplifying -12 + 17v = 0 Solving -12 + 17v = 0 Move all terms containing v to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 17v = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 17v = 0 + 12 17v = 0 + 12 Combine like terms: 0 + 12 = 12 17v = 12 Divide each side by '17'. v = 0.7058823529 Simplifying v = 0.7058823529Solution
v = {0, 0.7058823529}
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