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Simplifying 24v2 + 116v2 + -168v = 0 Reorder the terms: -168v + 24v2 + 116v2 = 0 Combine like terms: 24v2 + 116v2 = 140v2 -168v + 140v2 = 0 Solving -168v + 140v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '28v'. 28v(-6 + 5v) = 0 Ignore the factor 28.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 '(-6 + 5v)' equal to zero and attempt to solve: Simplifying -6 + 5v = 0 Solving -6 + 5v = 0 Move all terms containing v to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 5v = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 5v = 0 + 6 5v = 0 + 6 Combine like terms: 0 + 6 = 6 5v = 6 Divide each side by '5'. v = 1.2 Simplifying v = 1.2Solution
v = {0, 1.2}
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