49w^2-100=

Solution for 49w^2-100= equation:

Simplifying
49w2 + -100 = 0

Reorder the terms:
-100 + 49w2 = 0

Solving
-100 + 49w2 = 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 + 49w2 = 0 + 100

Combine like terms: -100 + 100 = 0
0 + 49w2 = 0 + 100
49w2 = 0 + 100

Combine like terms: 0 + 100 = 100
49w2 = 100

Divide each side by '49'.
w2 = 2.040816327

Simplifying
w2 = 2.040816327

Take the square root of each side:
w = {-1.428571429, 1.428571429}