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Simplifying 0 = 12v4 + -8v3 Reorder the terms: 0 = -8v3 + 12v4 Solving 0 = -8v3 + 12v4 Solving for variable 'v'. Remove the zero: 8v3 + -12v4 = -8v3 + 12v4 + 8v3 + -12v4 Reorder the terms: 8v3 + -12v4 = -8v3 + 8v3 + 12v4 + -12v4 Combine like terms: -8v3 + 8v3 = 0 8v3 + -12v4 = 0 + 12v4 + -12v4 8v3 + -12v4 = 12v4 + -12v4 Combine like terms: 12v4 + -12v4 = 0 8v3 + -12v4 = 0 Factor out the Greatest Common Factor (GCF), '4v3'. 4v3(2 + -3v) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'v3' equal to zero and attempt to solve: Simplifying v3 = 0 Solving v3 = 0 Move all terms containing v to the left, all other terms to the right. Simplifying v3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 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 = {0.6666666667}
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