W^2-30W-400=0

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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.
(-10 + -1W)(40 + -1W) = 0


Subproblem 1
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

Subproblem 2
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
Solution
W = {-10, 40}

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