5y(5y-9)=22

Solution for 5y(5y-9)=22 equation:

Simplifying
5y(5y + -9) = 22

Reorder the terms:
5y(-9 + 5y) = 22
(-9 * 5y + 5y * 5y) = 22
(-45y + 25y2) = 22

Solving
-45y + 25y2 = 22

Solving for variable 'y'.

Reorder the terms:
-22 + -45y + 25y2 = 22 + -22

Combine like terms: 22 + -22 = 0
-22 + -45y + 25y2 = 0

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

Subproblem 1
Set the factor '(-2 + -5y)' equal to zero and attempt to solve:

Simplifying
-2 + -5y = 0

Solving
-2 + -5y = 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 + -5y = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -5y = 0 + 2
-5y = 0 + 2

Combine like terms: 0 + 2 = 2
-5y = 2

Divide each side by '-5'.
y = -0.4

Simplifying
y = -0.4
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 = {-0.4, 2.2}