15v*3-170v^2+400v=0

Solution for 15v*3-170v^2+400v=0 equation:

Simplifying
15v * 3 + -170v2 + 400v = 0

Reorder the terms for easier multiplication:
15 * 3v + -170v2 + 400v = 0

Multiply 15 * 3
45v + -170v2 + 400v = 0

Reorder the terms:
45v + 400v + -170v2 = 0

Combine like terms: 45v + 400v = 445v
445v + -170v2 = 0

Solving
445v + -170v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '5v'.
5v(89 + -34v) = 0

Ignore the factor 5.
Subproblem 1
Set the factor 'v' equal to zero and attempt to solve:

Simplifying
v = 0

Solving
v = 0

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

Simplifying
v = 0
Subproblem 2
Set the factor '(89 + -34v)' equal to zero and attempt to solve:

Simplifying
89 + -34v = 0

Solving
89 + -34v = 0

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

Add '-89' to each side of the equation.
89 + -89 + -34v = 0 + -89

Combine like terms: 89 + -89 = 0
0 + -34v = 0 + -89
-34v = 0 + -89

Combine like terms: 0 + -89 = -89
-34v = -89

Divide each side by '-34'.
v = 2.617647059

Simplifying
v = 2.617647059
Solution
v = {0, 2.617647059}