w^2-50w+49=0

Solution for w^2-50w+49=0 equation:

Simplifying
w2 + -50w + 49 = 0

Reorder the terms:
49 + -50w + w2 = 0

Solving
49 + -50w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(1 + -1w)(49 + -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 '(49 + -1w)' equal to zero and attempt to solve:

Simplifying
49 + -1w = 0

Solving
49 + -1w = 0

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

Add '-49' to each side of the equation.
49 + -49 + -1w = 0 + -49

Combine like terms: 49 + -49 = 0
0 + -1w = 0 + -49
-1w = 0 + -49

Combine like terms: 0 + -49 = -49
-1w = -49

Divide each side by '-1'.
w = 49

Simplifying
w = 49
Solution
w = {1, 49}