245v^2-35v-30=0

Solution for 245v^2-35v-30=0 equation:

Simplifying
245v2 + -35v + -30 = 0

Reorder the terms:
-30 + -35v + 245v2 = 0

Solving
-30 + -35v + 245v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-6 + -7v + 49v2) = 0

Factor a trinomial.
5((-2 + -7v)(3 + -7v)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(-2 + -7v)' equal to zero and attempt to solve:

Simplifying
-2 + -7v = 0

Solving
-2 + -7v = 0

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

Add '2' to each side of the equation.
-2 + 2 + -7v = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -7v = 0 + 2
-7v = 0 + 2

Combine like terms: 0 + 2 = 2
-7v = 2

Divide each side by '-7'.
v = -0.2857142857

Simplifying
v = -0.2857142857
Subproblem 2
Set the factor '(3 + -7v)' equal to zero and attempt to solve:

Simplifying
3 + -7v = 0

Solving
3 + -7v = 0

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

Add '-3' to each side of the equation.
3 + -3 + -7v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7v = 0 + -3
-7v = 0 + -3

Combine like terms: 0 + -3 = -3
-7v = -3

Divide each side by '-7'.
v = 0.4285714286

Simplifying
v = 0.4285714286
Solution
v = {-0.2857142857, 0.4285714286}