5*z*z-35=0

Solution for 5*z*z-35=0 equation:

Simplifying
5z * z + -35 = 0

Multiply z * z
5z2 + -35 = 0

Reorder the terms:
-35 + 5z2 = 0

Solving
-35 + 5z2 = 0

Solving for variable 'z'.

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

Add '35' to each side of the equation.
-35 + 35 + 5z2 = 0 + 35

Combine like terms: -35 + 35 = 0
0 + 5z2 = 0 + 35
5z2 = 0 + 35

Combine like terms: 0 + 35 = 35
5z2 = 35

Divide each side by '5'.
z2 = 7

Simplifying
z2 = 7

Take the square root of each side:
z = {-2.645751311, 2.645751311}