y^2+25y-54=

Solution for y^2+25y-54= equation:

Simplifying
y2 + 25y + -54 = 0

Reorder the terms:
-54 + 25y + y2 = 0

Solving
-54 + 25y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-27 + -1y)(2 + -1y) = 0

Subproblem 1
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
Subproblem 2
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
Solution
y = {-27, 2}