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Simplifying 2v2 + 25v + 12 = 0 Reorder the terms: 12 + 25v + 2v2 = 0 Solving 12 + 25v + 2v2 = 0 Solving for variable 'v'. Factor a trinomial. (12 + v)(1 + 2v) = 0Subproblem 1
Set the factor '(12 + v)' equal to zero and attempt to solve: Simplifying 12 + v = 0 Solving 12 + v = 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 + v = 0 + -12 Combine like terms: 12 + -12 = 0 0 + v = 0 + -12 v = 0 + -12 Combine like terms: 0 + -12 = -12 v = -12 Simplifying v = -12Subproblem 2
Set the factor '(1 + 2v)' equal to zero and attempt to solve: Simplifying 1 + 2v = 0 Solving 1 + 2v = 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 + 2v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2v = 0 + -1 2v = 0 + -1 Combine like terms: 0 + -1 = -1 2v = -1 Divide each side by '2'. v = -0.5 Simplifying v = -0.5Solution
v = {-12, -0.5}
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