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Simplifying 8v2 + -41v + 36 = 0 Reorder the terms: 36 + -41v + 8v2 = 0 Solving 36 + -41v + 8v2 = 0 Solving for variable 'v'. Factor a trinomial. (9 + -8v)(4 + -1v) = 0Subproblem 1
Set the factor '(9 + -8v)' equal to zero and attempt to solve: Simplifying 9 + -8v = 0 Solving 9 + -8v = 0 Move all terms containing v to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -8v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8v = 0 + -9 -8v = 0 + -9 Combine like terms: 0 + -9 = -9 -8v = -9 Divide each side by '-8'. v = 1.125 Simplifying v = 1.125Subproblem 2
Set the factor '(4 + -1v)' equal to zero and attempt to solve: Simplifying 4 + -1v = 0 Solving 4 + -1v = 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 + -1v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1v = 0 + -4 -1v = 0 + -4 Combine like terms: 0 + -4 = -4 -1v = -4 Divide each side by '-1'. v = 4 Simplifying v = 4Solution
v = {1.125, 4}
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