w^2+42=17w

Solution for w^2+42=17w equation:

Simplifying
w2 + 42 = 17w

Reorder the terms:
42 + w2 = 17w

Solving
42 + w2 = 17w

Solving for variable 'w'.

Reorder the terms:
42 + -17w + w2 = 17w + -17w

Combine like terms: 17w + -17w = 0
42 + -17w + w2 = 0

Factor a trinomial.
(3 + -1w)(14 + -1w) = 0

Subproblem 1
Set the factor '(3 + -1w)' equal to zero and attempt to solve:

Simplifying
3 + -1w = 0

Solving
3 + -1w = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1w = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1w = 0 + -3
-1w = 0 + -3

Combine like terms: 0 + -3 = -3
-1w = -3

Divide each side by '-1'.
w = 3

Simplifying
w = 3
Subproblem 2
Set the factor '(14 + -1w)' equal to zero and attempt to solve:

Simplifying
14 + -1w = 0

Solving
14 + -1w = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1w = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1w = 0 + -14
-1w = 0 + -14

Combine like terms: 0 + -14 = -14
-1w = -14

Divide each side by '-1'.
w = 14

Simplifying
w = 14
Solution
w = {3, 14}