7v^2-65v-50=0

Solution for 7v^2-65v-50=0 equation:

Simplifying
7v2 + -65v + -50 = 0

Reorder the terms:
-50 + -65v + 7v2 = 0

Solving
-50 + -65v + 7v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-5 + -7v)(10 + -1v) = 0

Subproblem 1
Set the factor '(-5 + -7v)' equal to zero and attempt to solve:

Simplifying
-5 + -7v = 0

Solving
-5 + -7v = 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 + -7v = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -7v = 0 + 5
-7v = 0 + 5

Combine like terms: 0 + 5 = 5
-7v = 5

Divide each side by '-7'.
v = -0.7142857143

Simplifying
v = -0.7142857143
Subproblem 2
Set the factor '(10 + -1v)' equal to zero and attempt to solve:

Simplifying
10 + -1v = 0

Solving
10 + -1v = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1v = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1v = 0 + -10
-1v = 0 + -10

Combine like terms: 0 + -10 = -10
-1v = -10

Divide each side by '-1'.
v = 10

Simplifying
v = 10
Solution
v = {-0.7142857143, 10}