w^2+30w-400=0

Solution for w^2+30w-400=0 equation:

Simplifying
w2 + 30w + -400 = 0

Reorder the terms:
-400 + 30w + w2 = 0

Solving
-400 + 30w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-40 + -1w)(10 + -1w) = 0

Subproblem 1
Set the factor '(-40 + -1w)' equal to zero and attempt to solve:

Simplifying
-40 + -1w = 0

Solving
-40 + -1w = 0

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

Add '40' to each side of the equation.
-40 + 40 + -1w = 0 + 40

Combine like terms: -40 + 40 = 0
0 + -1w = 0 + 40
-1w = 0 + 40

Combine like terms: 0 + 40 = 40
-1w = 40

Divide each side by '-1'.
w = -40

Simplifying
w = -40
Subproblem 2
Set the factor '(10 + -1w)' equal to zero and attempt to solve:

Simplifying
10 + -1w = 0

Solving
10 + -1w = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1w = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1w = 0 + -10
-1w = 0 + -10

Combine like terms: 0 + -10 = -10
-1w = -10

Divide each side by '-1'.
w = 10

Simplifying
w = 10
Solution
w = {-40, 10}