16y^2-73y+36=0

Solution for 16y^2-73y+36=0 equation:

Simplifying
16y2 + -73y + 36 = 0

Reorder the terms:
36 + -73y + 16y2 = 0

Solving
36 + -73y + 16y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(9 + -16y)(4 + -1y) = 0

Subproblem 1
Set the factor '(9 + -16y)' equal to zero and attempt to solve:

Simplifying
9 + -16y = 0

Solving
9 + -16y = 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 + -16y = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -16y = 0 + -9
-16y = 0 + -9

Combine like terms: 0 + -9 = -9
-16y = -9

Divide each side by '-16'.
y = 0.5625

Simplifying
y = 0.5625
Subproblem 2
Set the factor '(4 + -1y)' equal to zero and attempt to solve:

Simplifying
4 + -1y = 0

Solving
4 + -1y = 0

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

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

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

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

Divide each side by '-1'.
y = 4

Simplifying
y = 4
Solution
y = {0.5625, 4}