v^2-20v+42=6

Solution for v^2-20v+42=6 equation:

Simplifying
v2 + -20v + 42 = 6

Reorder the terms:
42 + -20v + v2 = 6

Solving
42 + -20v + v2 = 6

Solving for variable 'v'.

Reorder the terms:
42 + -6 + -20v + v2 = 6 + -6

Combine like terms: 42 + -6 = 36
36 + -20v + v2 = 6 + -6

Combine like terms: 6 + -6 = 0
36 + -20v + v2 = 0

Factor a trinomial.
(2 + -1v)(18 + -1v) = 0

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

Simplifying
2 + -1v = 0

Solving
2 + -1v = 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 + -1v = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1v = 0 + -2
-1v = 0 + -2

Combine like terms: 0 + -2 = -2
-1v = -2

Divide each side by '-1'.
v = 2

Simplifying
v = 2
Subproblem 2
Set the factor '(18 + -1v)' equal to zero and attempt to solve:

Simplifying
18 + -1v = 0

Solving
18 + -1v = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1v = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1v = 0 + -18
-1v = 0 + -18

Combine like terms: 0 + -18 = -18
-1v = -18

Divide each side by '-1'.
v = 18

Simplifying
v = 18
Solution
v = {2, 18}