-4w^2+28+72=0

Solution for -4w^2+28+72=0 equation:

Simplifying
-4w2 + 28 + 72 = 0

Reorder the terms:
28 + 72 + -4w2 = 0

Combine like terms: 28 + 72 = 100
100 + -4w2 = 0

Solving
100 + -4w2 = 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 + -4w2 = 0 + -100

Combine like terms: 100 + -100 = 0
0 + -4w2 = 0 + -100
-4w2 = 0 + -100

Combine like terms: 0 + -100 = -100
-4w2 = -100

Divide each side by '-4'.
w2 = 25

Simplifying
w2 = 25

Take the square root of each side:
w = {-5, 5}