4w^2-225=

Solution for 4w^2-225= equation:

Simplifying
4w2 + -225 = 0

Reorder the terms:
-225 + 4w2 = 0

Solving
-225 + 4w2 = 0

Solving for variable 'w'.

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

Add '225' to each side of the equation.
-225 + 225 + 4w2 = 0 + 225

Combine like terms: -225 + 225 = 0
0 + 4w2 = 0 + 225
4w2 = 0 + 225

Combine like terms: 0 + 225 = 225
4w2 = 225

Divide each side by '4'.
w2 = 56.25

Simplifying
w2 = 56.25

Take the square root of each side:
w = {-7.5, 7.5}