4z^2-49=0

Solution for 4z^2-49=0 equation:

Simplifying
4z2 + -49 = 0

Reorder the terms:
-49 + 4z2 = 0

Solving
-49 + 4z2 = 0

Solving for variable 'z'.

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

Add '49' to each side of the equation.
-49 + 49 + 4z2 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + 4z2 = 0 + 49
4z2 = 0 + 49

Combine like terms: 0 + 49 = 49
4z2 = 49

Divide each side by '4'.
z2 = 12.25

Simplifying
z2 = 12.25

Take the square root of each side:
z = {-3.5, 3.5}