16w^2-49=

Solution for 16w^2-49= equation:

Simplifying
16w2 + -49 = 0

Reorder the terms:
-49 + 16w2 = 0

Solving
-49 + 16w2 = 0

Solving for variable 'w'.

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

Add '49' to each side of the equation.
-49 + 49 + 16w2 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + 16w2 = 0 + 49
16w2 = 0 + 49

Combine like terms: 0 + 49 = 49
16w2 = 49

Divide each side by '16'.
w2 = 3.0625

Simplifying
w2 = 3.0625

Take the square root of each side:
w = {-1.75, 1.75}