w^2-25w+24=0

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

Simplifying
w2 + -25w + 24 = 0

Reorder the terms:
24 + -25w + w2 = 0

Solving
24 + -25w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(1 + -1w)(24 + -1w) = 0

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

Simplifying
1 + -1w = 0

Solving
1 + -1w = 0

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

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

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

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

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

Simplifying
w = 1
Subproblem 2
Set the factor '(24 + -1w)' equal to zero and attempt to solve:

Simplifying
24 + -1w = 0

Solving
24 + -1w = 0

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

Add '-24' to each side of the equation.
24 + -24 + -1w = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -1w = 0 + -24
-1w = 0 + -24

Combine like terms: 0 + -24 = -24
-1w = -24

Divide each side by '-1'.
w = 24

Simplifying
w = 24
Solution
w = {1, 24}