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Simplifying 9v2 + 26v + -3 = 0 Reorder the terms: -3 + 26v + 9v2 = 0 Solving -3 + 26v + 9v2 = 0 Solving for variable 'v'. Factor a trinomial. (-3 + -1v)(1 + -9v) = 0Subproblem 1
Set the factor '(-3 + -1v)' equal to zero and attempt to solve: Simplifying -3 + -1v = 0 Solving -3 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1v = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1v = 0 + 3 -1v = 0 + 3 Combine like terms: 0 + 3 = 3 -1v = 3 Divide each side by '-1'. v = -3 Simplifying v = -3Subproblem 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 = {-3, 0.1111111111}
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