y^2+24y-25=0

Solution for y^2+24y-25=0 equation:

Simplifying
y2 + 24y + -25 = 0

Reorder the terms:
-25 + 24y + y2 = 0

Solving
-25 + 24y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-25 + -1y)(1 + -1y) = 0

Subproblem 1
Set the factor '(-25 + -1y)' equal to zero and attempt to solve:

Simplifying
-25 + -1y = 0

Solving
-25 + -1y = 0

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

Add '25' to each side of the equation.
-25 + 25 + -1y = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -1y = 0 + 25
-1y = 0 + 25

Combine like terms: 0 + 25 = 25
-1y = 25

Divide each side by '-1'.
y = -25

Simplifying
y = -25
Subproblem 2
Set the factor '(1 + -1y)' equal to zero and attempt to solve:

Simplifying
1 + -1y = 0

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

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

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

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

Simplifying
y = 1
Solution
y = {-25, 1}