y^2-28y+180=0

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Solution for y^2-28y+180=0 equation: 


Simplifying
y2 + -28y + 180 = 0

Reorder the terms:
180 + -28y + y2 = 0

Solving
180 + -28y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(10 + -1y)(18 + -1y) = 0


Subproblem 1
Set the factor '(10 + -1y)' equal to zero and attempt to solve:

Simplifying
10 + -1y = 0

Solving
10 + -1y = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1y = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1y = 0 + -10
-1y = 0 + -10

Combine like terms: 0 + -10 = -10
-1y = -10

Divide each side by '-1'.
y = 10

Simplifying
y = 10

Subproblem 2
Set the factor '(18 + -1y)' equal to zero and attempt to solve:

Simplifying
18 + -1y = 0

Solving
18 + -1y = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1y = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1y = 0 + -18
-1y = 0 + -18

Combine like terms: 0 + -18 = -18
-1y = -18

Divide each side by '-1'.
y = 18

Simplifying
y = 18
Solution
y = {10, 18}

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