w^2+5w-546=0

Solution for w^2+5w-546=0 equation:

Simplifying
w2 + 5w + -546 = 0

Reorder the terms:
-546 + 5w + w2 = 0

Solving
-546 + 5w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-26 + -1w)(21 + -1w) = 0

Subproblem 1
Set the factor '(-26 + -1w)' equal to zero and attempt to solve:

Simplifying
-26 + -1w = 0

Solving
-26 + -1w = 0

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

Add '26' to each side of the equation.
-26 + 26 + -1w = 0 + 26

Combine like terms: -26 + 26 = 0
0 + -1w = 0 + 26
-1w = 0 + 26

Combine like terms: 0 + 26 = 26
-1w = 26

Divide each side by '-1'.
w = -26

Simplifying
w = -26
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 = {-26, 21}