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Simplifying 9v2 + -13v + 4 = 0 Reorder the terms: 4 + -13v + 9v2 = 0 Solving 4 + -13v + 9v2 = 0 Solving for variable 'v'. Factor a trinomial. (4 + -9v)(1 + -1v) = 0Subproblem 1
Set the factor '(4 + -9v)' equal to zero and attempt to solve: Simplifying 4 + -9v = 0 Solving 4 + -9v = 0 Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -9v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9v = 0 + -4 -9v = 0 + -4 Combine like terms: 0 + -4 = -4 -9v = -4 Divide each side by '-9'. v = 0.4444444444 Simplifying v = 0.4444444444Subproblem 2
Set the factor '(1 + -1v)' equal to zero and attempt to solve: Simplifying 1 + -1v = 0 Solving 1 + -1v = 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 + -1v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1v = 0 + -1 -1v = 0 + -1 Combine like terms: 0 + -1 = -1 -1v = -1 Divide each side by '-1'. v = 1 Simplifying v = 1Solution
v = {0.4444444444, 1}
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