y^2-29y+54=0

Solution for y^2-29y+54=0 equation:

Simplifying
y2 + -29y + 54 = 0

Reorder the terms:
54 + -29y + y2 = 0

Solving
54 + -29y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(2 + -1y)(27 + -1y) = 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 '(27 + -1y)' equal to zero and attempt to solve:

Simplifying
27 + -1y = 0

Solving
27 + -1y = 0

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

Add '-27' to each side of the equation.
27 + -27 + -1y = 0 + -27

Combine like terms: 27 + -27 = 0
0 + -1y = 0 + -27
-1y = 0 + -27

Combine like terms: 0 + -27 = -27
-1y = -27

Divide each side by '-1'.
y = 27

Simplifying
y = 27
Solution
y = {2, 27}