5a^2+6=426

Solution for 5a^2+6=426 equation:

Simplifying
5a2 + 6 = 426

Reorder the terms:
6 + 5a2 = 426

Solving
6 + 5a2 = 426

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 = 426 + -6

Combine like terms: 6 + -6 = 0
0 + 5a2 = 426 + -6
5a2 = 426 + -6

Combine like terms: 426 + -6 = 420
5a2 = 420

Divide each side by '5'.
a2 = 84

Simplifying
a2 = 84

Take the square root of each side:
a = {-9.16515139, 9.16515139}