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Simplifying v2 + -8 = 6v + -8 Reorder the terms: -8 + v2 = 6v + -8 Reorder the terms: -8 + v2 = -8 + 6v Add '8' to each side of the equation. -8 + 8 + v2 = -8 + 8 + 6v Combine like terms: -8 + 8 = 0 0 + v2 = -8 + 8 + 6v v2 = -8 + 8 + 6v Combine like terms: -8 + 8 = 0 v2 = 0 + 6v v2 = 6v Solving v2 = 6v Solving for variable 'v'. Reorder the terms: -6v + v2 = 6v + -6v Combine like terms: 6v + -6v = 0 -6v + v2 = 0 Factor out the Greatest Common Factor (GCF), 'v'. v(-6 + v) = 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 '(-6 + v)' equal to zero and attempt to solve: Simplifying -6 + v = 0 Solving -6 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + v = 0 + 6 Combine like terms: -6 + 6 = 0 0 + v = 0 + 6 v = 0 + 6 Combine like terms: 0 + 6 = 6 v = 6 Simplifying v = 6Solution
v = {0, 6}
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