5(w^2-20)=

Solution for 5(w^2-20)= equation:

Simplifying
5(w2 + -20) = 0

Reorder the terms:
5(-20 + w2) = 0
(-20 * 5 + w2 * 5) = 0
(-100 + 5w2) = 0

Solving
-100 + 5w2 = 0

Solving for variable 'w'.

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

Add '100' to each side of the equation.
-100 + 100 + 5w2 = 0 + 100

Combine like terms: -100 + 100 = 0
0 + 5w2 = 0 + 100
5w2 = 0 + 100

Combine like terms: 0 + 100 = 100
5w2 = 100

Divide each side by '5'.
w2 = 20

Simplifying
w2 = 20

Take the square root of each side:
w = {-4.472135955, 4.472135955}