9v^2-77v+40=0

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Solution for 9v^2-77v+40=0 equation:


Simplifying
9v2 + -77v + 40 = 0

Reorder the terms:
40 + -77v + 9v2 = 0

Solving
40 + -77v + 9v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(5 + -9v)(8 + -1v) = 0

Subproblem 1

Set the factor '(5 + -9v)' equal to zero and attempt to solve: Simplifying 5 + -9v = 0 Solving 5 + -9v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -9v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -9v = 0 + -5 -9v = 0 + -5 Combine like terms: 0 + -5 = -5 -9v = -5 Divide each side by '-9'. v = 0.5555555556 Simplifying v = 0.5555555556

Subproblem 2

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 = 8

Solution

v = {0.5555555556, 8}

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