2z^2-34=64

Solution for 2z^2-34=64 equation:

Simplifying
2z2 + -34 = 64

Reorder the terms:
-34 + 2z2 = 64

Solving
-34 + 2z2 = 64

Solving for variable 'z'.

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

Add '34' to each side of the equation.
-34 + 34 + 2z2 = 64 + 34

Combine like terms: -34 + 34 = 0
0 + 2z2 = 64 + 34
2z2 = 64 + 34

Combine like terms: 64 + 34 = 98
2z2 = 98

Divide each side by '2'.
z2 = 49

Simplifying
z2 = 49

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