6v^2-41v-56=0

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Solution for 6v^2-41v-56=0 equation: 


Simplifying
6v2 + -41v + -56 = 0

Reorder the terms:
-56 + -41v + 6v2 = 0

Solving
-56 + -41v + 6v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-7 + -6v)(8 + -1v) = 0


Subproblem 1
Set the factor '(-7 + -6v)' equal to zero and attempt to solve:

Simplifying
-7 + -6v = 0

Solving
-7 + -6v = 0

Move all terms containing v to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + -6v = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -6v = 0 + 7
-6v = 0 + 7

Combine like terms: 0 + 7 = 7
-6v = 7

Divide each side by '-6'.
v = -1.166666667

Simplifying
v = -1.166666667

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 = {-1.166666667, 8}

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