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Simplifying 4v(7v + -4) = 0 Reorder the terms: 4v(-4 + 7v) = 0 (-4 * 4v + 7v * 4v) = 0 (-16v + 28v2) = 0 Solving -16v + 28v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '4v'. 4v(-4 + 7v) = 0 Ignore the factor 4.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 '(-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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