22=y*(1+5*y)

Solution for 22=y*(1+5*y) equation:

Simplifying
22 = y(1 + 5y)
22 = (1 * y + 5y * y)
22 = (1y + 5y2)

Solving
22 = 1y + 5y2

Solving for variable 'y'.

Reorder the terms:
22 + -1y + -5y2 = 1y + -1y + 5y2 + -5y2

Combine like terms: 1y + -1y = 0
22 + -1y + -5y2 = 0 + 5y2 + -5y2
22 + -1y + -5y2 = 5y2 + -5y2

Combine like terms: 5y2 + -5y2 = 0
22 + -1y + -5y2 = 0

Factor a trinomial.
(2 + -1y)(11 + 5y) = 0

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

Simplifying
2 + -1y = 0

Solving
2 + -1y = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1y = 0 + -2

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

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

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

Simplifying
y = 2
Subproblem 2
Set the factor '(11 + 5y)' equal to zero and attempt to solve:

Simplifying
11 + 5y = 0

Solving
11 + 5y = 0

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

Add '-11' to each side of the equation.
11 + -11 + 5y = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 5y = 0 + -11
5y = 0 + -11

Combine like terms: 0 + -11 = -11
5y = -11

Divide each side by '5'.
y = -2.2

Simplifying
y = -2.2
Solution
y = {2, -2.2}