q^2-24q-25=0

Solution for q^2-24q-25=0 equation:

Simplifying
q2 + -24q + -25 = 0

Reorder the terms:
-25 + -24q + q2 = 0

Solving
-25 + -24q + q2 = 0

Solving for variable 'q'.

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

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

Simplifying
-1 + -1q = 0

Solving
-1 + -1q = 0

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

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

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

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

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

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

Simplifying
25 + -1q = 0

Solving
25 + -1q = 0

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

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

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

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

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

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