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Simplifying 81v2 + -18v + 1 = 0 Reorder the terms: 1 + -18v + 81v2 = 0 Solving 1 + -18v + 81v2 = 0 Solving for variable 'v'. Factor a trinomial. (1 + -9v)(1 + -9v) = 0Subproblem 1
Set the factor '(1 + -9v)' equal to zero and attempt to solve: Simplifying 1 + -9v = 0 Solving 1 + -9v = 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 + -9v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -9v = 0 + -1 -9v = 0 + -1 Combine like terms: 0 + -1 = -1 -9v = -1 Divide each side by '-9'. v = 0.1111111111 Simplifying v = 0.1111111111Subproblem 2
Set the factor '(1 + -9v)' equal to zero and attempt to solve: Simplifying 1 + -9v = 0 Solving 1 + -9v = 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 + -9v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -9v = 0 + -1 -9v = 0 + -1 Combine like terms: 0 + -1 = -1 -9v = -1 Divide each side by '-9'. v = 0.1111111111 Simplifying v = 0.1111111111Solution
v = {0.1111111111, 0.1111111111}
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