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Simplifying 0 = 6v + -9v2 Solving 0 = 6v + -9v2 Solving for variable 'v'. Remove the zero: -6v + 9v2 = 6v + -9v2 + -6v + 9v2 Reorder the terms: -6v + 9v2 = 6v + -6v + -9v2 + 9v2 Combine like terms: 6v + -6v = 0 -6v + 9v2 = 0 + -9v2 + 9v2 -6v + 9v2 = -9v2 + 9v2 Combine like terms: -9v2 + 9v2 = 0 -6v + 9v2 = 0 Factor out the Greatest Common Factor (GCF), '3v'. 3v(-2 + 3v) = 0 Ignore the factor 3.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 '(-2 + 3v)' equal to zero and attempt to solve: Simplifying -2 + 3v = 0 Solving -2 + 3v = 0 Move all terms containing v to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3v = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3v = 0 + 2 3v = 0 + 2 Combine like terms: 0 + 2 = 2 3v = 2 Divide each side by '3'. v = 0.6666666667 Simplifying v = 0.6666666667Solution
v = {0, 0.6666666667}
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