5a^2-6=34

Solution for 5a^2-6=34 equation:

Simplifying
5a2 + -6 = 34

Reorder the terms:
-6 + 5a2 = 34

Solving
-6 + 5a2 = 34

Solving for variable 'a'.

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

Add '6' to each side of the equation.
-6 + 6 + 5a2 = 34 + 6

Combine like terms: -6 + 6 = 0
0 + 5a2 = 34 + 6
5a2 = 34 + 6

Combine like terms: 34 + 6 = 40
5a2 = 40

Divide each side by '5'.
a2 = 8

Simplifying
a2 = 8

Take the square root of each side:
a = {-2.828427125, 2.828427125}