13z^2+6=35

Solution for 13z^2+6=35 equation:

Simplifying
13z2 + 6 = 35

Reorder the terms:
6 + 13z2 = 35

Solving
6 + 13z2 = 35

Solving for variable 'z'.

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

Add '-6' to each side of the equation.
6 + -6 + 13z2 = 35 + -6

Combine like terms: 6 + -6 = 0
0 + 13z2 = 35 + -6
13z2 = 35 + -6

Combine like terms: 35 + -6 = 29
13z2 = 29

Divide each side by '13'.
z2 = 2.230769231

Simplifying
z2 = 2.230769231

Take the square root of each side:
z = {-1.493575988, 1.493575988}