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Simplifying 9v2 + 71v + -8 = 0 Reorder the terms: -8 + 71v + 9v2 = 0 Solving -8 + 71v + 9v2 = 0 Solving for variable 'v'. Factor a trinomial. (-8 + -1v)(1 + -9v) = 0Subproblem 1
Set the factor '(-8 + -1v)' equal to zero and attempt to solve: Simplifying -8 + -1v = 0 Solving -8 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1v = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1v = 0 + 8 -1v = 0 + 8 Combine like terms: 0 + 8 = 8 -1v = 8 Divide each side by '-1'. v = -8 Simplifying v = -8Subproblem 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 = {-8, 0.1111111111}
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