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Simplifying 81v2 + 36v + 4 = 0 Reorder the terms: 4 + 36v + 81v2 = 0 Solving 4 + 36v + 81v2 = 0 Solving for variable 'v'. Factor a trinomial. (2 + 9v)(2 + 9v) = 0Subproblem 1
Set the factor '(2 + 9v)' equal to zero and attempt to solve: Simplifying 2 + 9v = 0 Solving 2 + 9v = 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 + 9v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9v = 0 + -2 9v = 0 + -2 Combine like terms: 0 + -2 = -2 9v = -2 Divide each side by '9'. v = -0.2222222222 Simplifying v = -0.2222222222Subproblem 2
Set the factor '(2 + 9v)' equal to zero and attempt to solve: Simplifying 2 + 9v = 0 Solving 2 + 9v = 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 + 9v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9v = 0 + -2 9v = 0 + -2 Combine like terms: 0 + -2 = -2 9v = -2 Divide each side by '9'. v = -0.2222222222 Simplifying v = -0.2222222222Solution
v = {-0.2222222222, -0.2222222222}
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