56v^2-17v-3=0

Solution for 56v^2-17v-3=0 equation:

Simplifying
56v2 + -17v + -3 = 0

Reorder the terms:
-3 + -17v + 56v2 = 0

Solving
-3 + -17v + 56v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-1 + -8v)(3 + -7v) = 0

Subproblem 1
Set the factor '(-1 + -8v)' equal to zero and attempt to solve:

Simplifying
-1 + -8v = 0

Solving
-1 + -8v = 0

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

Add '1' to each side of the equation.
-1 + 1 + -8v = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -8v = 0 + 1
-8v = 0 + 1

Combine like terms: 0 + 1 = 1
-8v = 1

Divide each side by '-8'.
v = -0.125

Simplifying
v = -0.125
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 = {-0.125, 0.4285714286}