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Simplifying v3 + 12v = 13v2 Reorder the terms: 12v + v3 = 13v2 Solving 12v + v3 = 13v2 Solving for variable 'v'. Reorder the terms: 12v + -13v2 + v3 = 13v2 + -13v2 Combine like terms: 13v2 + -13v2 = 0 12v + -13v2 + v3 = 0 Factor out the Greatest Common Factor (GCF), 'v'. v(12 + -13v + v2) = 0 Factor a trinomial. v((1 + -1v)(12 + -1v)) = 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 '(1 + -1v)' equal to zero and attempt to solve: Simplifying 1 + -1v = 0 Solving 1 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1v = 0 + -1 -1v = 0 + -1 Combine like terms: 0 + -1 = -1 -1v = -1 Divide each side by '-1'. v = 1 Simplifying v = 1Subproblem 3
Set the factor '(12 + -1v)' equal to zero and attempt to solve: Simplifying 12 + -1v = 0 Solving 12 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1v = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1v = 0 + -12 -1v = 0 + -12 Combine like terms: 0 + -12 = -12 -1v = -12 Divide each side by '-1'. v = 12 Simplifying v = 12Solution
v = {0, 1, 12}
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