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Simplifying v(v + -7) + v(6v + 4) = 0 Reorder the terms: v(-7 + v) + v(6v + 4) = 0 (-7 * v + v * v) + v(6v + 4) = 0 (-7v + v2) + v(6v + 4) = 0 Reorder the terms: -7v + v2 + v(4 + 6v) = 0 -7v + v2 + (4 * v + 6v * v) = 0 -7v + v2 + (4v + 6v2) = 0 Reorder the terms: -7v + 4v + v2 + 6v2 = 0 Combine like terms: -7v + 4v = -3v -3v + v2 + 6v2 = 0 Combine like terms: v2 + 6v2 = 7v2 -3v + 7v2 = 0 Solving -3v + 7v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), 'v'. v(-3 + 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 '(-3 + 7v)' equal to zero and attempt to solve: Simplifying -3 + 7v = 0 Solving -3 + 7v = 0 Move all terms containing v to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 7v = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 7v = 0 + 3 7v = 0 + 3 Combine like terms: 0 + 3 = 3 7v = 3 Divide each side by '7'. v = 0.4285714286 Simplifying v = 0.4285714286Solution
v = {0, 0.4285714286}
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