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Simplifying 81v2 + 180v + 100 = 0 Reorder the terms: 100 + 180v + 81v2 = 0 Solving 100 + 180v + 81v2 = 0 Solving for variable 'v'. Factor a trinomial. (10 + 9v)(10 + 9v) = 0Subproblem 1
Set the factor '(10 + 9v)' equal to zero and attempt to solve: Simplifying 10 + 9v = 0 Solving 10 + 9v = 0 Move all terms containing v to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 9v = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 9v = 0 + -10 9v = 0 + -10 Combine like terms: 0 + -10 = -10 9v = -10 Divide each side by '9'. v = -1.111111111 Simplifying v = -1.111111111Subproblem 2
Set the factor '(10 + 9v)' equal to zero and attempt to solve: Simplifying 10 + 9v = 0 Solving 10 + 9v = 0 Move all terms containing v to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 9v = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 9v = 0 + -10 9v = 0 + -10 Combine like terms: 0 + -10 = -10 9v = -10 Divide each side by '9'. v = -1.111111111 Simplifying v = -1.111111111Solution
v = {-1.111111111, -1.111111111}
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