40y^2-53y+6=0

Solution for 40y^2-53y+6=0 equation:

Simplifying
40y2 + -53y + 6 = 0

Reorder the terms:
6 + -53y + 40y2 = 0

Solving
6 + -53y + 40y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(1 + -8y)(6 + -5y) = 0

Subproblem 1
Set the factor '(1 + -8y)' equal to zero and attempt to solve:

Simplifying
1 + -8y = 0

Solving
1 + -8y = 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 + -8y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -8y = 0 + -1
-8y = 0 + -1

Combine like terms: 0 + -1 = -1
-8y = -1

Divide each side by '-8'.
y = 0.125

Simplifying
y = 0.125
Subproblem 2
Set the factor '(6 + -5y)' equal to zero and attempt to solve:

Simplifying
6 + -5y = 0

Solving
6 + -5y = 0

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

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

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

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

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

Simplifying
y = 1.2
Solution
y = {0.125, 1.2}