5v^2-21v+15=-3

Solution for 5v^2-21v+15=-3 equation:

Simplifying
5v2 + -21v + 15 = -3

Reorder the terms:
15 + -21v + 5v2 = -3

Solving
15 + -21v + 5v2 = -3

Solving for variable 'v'.

Reorder the terms:
15 + 3 + -21v + 5v2 = -3 + 3

Combine like terms: 15 + 3 = 18
18 + -21v + 5v2 = -3 + 3

Combine like terms: -3 + 3 = 0
18 + -21v + 5v2 = 0

Factor a trinomial.
(6 + -5v)(3 + -1v) = 0

Subproblem 1
Set the factor '(6 + -5v)' equal to zero and attempt to solve:

Simplifying
6 + -5v = 0

Solving
6 + -5v = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5v = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5v = 0 + -6
-5v = 0 + -6

Combine like terms: 0 + -6 = -6
-5v = -6

Divide each side by '-5'.
v = 1.2

Simplifying
v = 1.2
Subproblem 2
Set the factor '(3 + -1v)' equal to zero and attempt to solve:

Simplifying
3 + -1v = 0

Solving
3 + -1v = 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 + -1v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1v = 0 + -3
-1v = 0 + -3

Combine like terms: 0 + -3 = -3
-1v = -3

Divide each side by '-1'.
v = 3

Simplifying
v = 3
Solution
v = {1.2, 3}