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Simplifying 3v2 = -4v + -4v2 Solving 3v2 = -4v + -4v2 Solving for variable 'v'. Reorder the terms: 4v + 3v2 + 4v2 = -4v + -4v2 + 4v + 4v2 Combine like terms: 3v2 + 4v2 = 7v2 4v + 7v2 = -4v + -4v2 + 4v + 4v2 Reorder the terms: 4v + 7v2 = -4v + 4v + -4v2 + 4v2 Combine like terms: -4v + 4v = 0 4v + 7v2 = 0 + -4v2 + 4v2 4v + 7v2 = -4v2 + 4v2 Combine like terms: -4v2 + 4v2 = 0 4v + 7v2 = 0 Factor out the Greatest Common Factor (GCF), 'v'. v(4 + 7v) = 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 '(4 + 7v)' equal to zero and attempt to solve: Simplifying 4 + 7v = 0 Solving 4 + 7v = 0 Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 7v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7v = 0 + -4 7v = 0 + -4 Combine like terms: 0 + -4 = -4 7v = -4 Divide each side by '7'. v = -0.5714285714 Simplifying v = -0.5714285714Solution
v = {0, -0.5714285714}
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