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Simplifying 6v(5v + -7) = 0 Reorder the terms: 6v(-7 + 5v) = 0 (-7 * 6v + 5v * 6v) = 0 (-42v + 30v2) = 0 Solving -42v + 30v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '6v'. 6v(-7 + 5v) = 0 Ignore the factor 6.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 '(-7 + 5v)' equal to zero and attempt to solve: Simplifying -7 + 5v = 0 Solving -7 + 5v = 0 Move all terms containing v to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 5v = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 5v = 0 + 7 5v = 0 + 7 Combine like terms: 0 + 7 = 7 5v = 7 Divide each side by '5'. v = 1.4 Simplifying v = 1.4Solution
v = {0, 1.4}
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