4(b^2-49)=0

Solution for 4(b^2-49)=0 equation:

Simplifying
4(b2 + -49) = 0

Reorder the terms:
4(-49 + b2) = 0
(-49 * 4 + b2 * 4) = 0
(-196 + 4b2) = 0

Solving
-196 + 4b2 = 0

Solving for variable 'b'.

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

Add '196' to each side of the equation.
-196 + 196 + 4b2 = 0 + 196

Combine like terms: -196 + 196 = 0
0 + 4b2 = 0 + 196
4b2 = 0 + 196

Combine like terms: 0 + 196 = 196
4b2 = 196

Divide each side by '4'.
b2 = 49

Simplifying
b2 = 49

Take the square root of each side:
b = {-7, 7}