64z^2-49=0

Solution for 64z^2-49=0 equation:

Simplifying
64z2 + -49 = 0

Reorder the terms:
-49 + 64z2 = 0

Solving
-49 + 64z2 = 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 + 64z2 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + 64z2 = 0 + 49
64z2 = 0 + 49

Combine like terms: 0 + 49 = 49
64z2 = 49

Divide each side by '64'.
z2 = 0.765625

Simplifying
z2 = 0.765625

Take the square root of each side:
z = {-0.875, 0.875}