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Simplifying -2v2 + -1v + 12 = 3v2 + 6v2 Reorder the terms: 12 + -1v + -2v2 = 3v2 + 6v2 Combine like terms: 3v2 + 6v2 = 9v2 12 + -1v + -2v2 = 9v2 Solving 12 + -1v + -2v2 = 9v2 Solving for variable 'v'. Combine like terms: -2v2 + -9v2 = -11v2 12 + -1v + -11v2 = 9v2 + -9v2 Combine like terms: 9v2 + -9v2 = 0 12 + -1v + -11v2 = 0 Factor a trinomial. (1 + -1v)(12 + 11v) = 0Subproblem 1
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 2
Set the factor '(12 + 11v)' equal to zero and attempt to solve: Simplifying 12 + 11v = 0 Solving 12 + 11v = 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 + 11v = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 11v = 0 + -12 11v = 0 + -12 Combine like terms: 0 + -12 = -12 11v = -12 Divide each side by '11'. v = -1.090909091 Simplifying v = -1.090909091Solution
v = {1, -1.090909091}
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