m^2+24m-25=0

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

Simplifying
m2 + 24m + -25 = 0

Reorder the terms:
-25 + 24m + m2 = 0

Solving
-25 + 24m + m2 = 0

Solving for variable 'm'.

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

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

Simplifying
-25 + -1m = 0

Solving
-25 + -1m = 0

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

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

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

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

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

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

Simplifying
1 + -1m = 0

Solving
1 + -1m = 0

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

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

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

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

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

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