w^2-23w+42=0

Solution for w^2-23w+42=0 equation:

Simplifying
w2 + -23w + 42 = 0

Reorder the terms:
42 + -23w + w2 = 0

Solving
42 + -23w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(2 + -1w)(21 + -1w) = 0

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

Simplifying
2 + -1w = 0

Solving
2 + -1w = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1w = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1w = 0 + -2
-1w = 0 + -2

Combine like terms: 0 + -2 = -2
-1w = -2

Divide each side by '-1'.
w = 2

Simplifying
w = 2
Subproblem 2
Set the factor '(21 + -1w)' equal to zero and attempt to solve:

Simplifying
21 + -1w = 0

Solving
21 + -1w = 0

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

Add '-21' to each side of the equation.
21 + -21 + -1w = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -1w = 0 + -21
-1w = 0 + -21

Combine like terms: 0 + -21 = -21
-1w = -21

Divide each side by '-1'.
w = 21

Simplifying
w = 21
Solution
w = {2, 21}