18-82y+40y^2=0

Solution for 18-82y+40y^2=0 equation:

Simplifying
18 + -82y + 40y2 = 0

Solving
18 + -82y + 40y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(9 + -41y + 20y2) = 0

Factor a trinomial.
2((1 + -4y)(9 + -5y)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(1 + -4y)' equal to zero and attempt to solve:

Simplifying
1 + -4y = 0

Solving
1 + -4y = 0

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

Add '-1' to each side of the equation.
1 + -1 + -4y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4y = 0 + -1
-4y = 0 + -1

Combine like terms: 0 + -1 = -1
-4y = -1

Divide each side by '-4'.
y = 0.25

Simplifying
y = 0.25
Subproblem 2
Set the factor '(9 + -5y)' equal to zero and attempt to solve:

Simplifying
9 + -5y = 0

Solving
9 + -5y = 0

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

Add '-9' to each side of the equation.
9 + -9 + -5y = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -5y = 0 + -9
-5y = 0 + -9

Combine like terms: 0 + -9 = -9
-5y = -9

Divide each side by '-5'.
y = 1.8

Simplifying
y = 1.8
Solution
y = {0.25, 1.8}