4a^2+96=409

Solution for 4a^2+96=409 equation:

Simplifying
4a2 + 96 = 409

Reorder the terms:
96 + 4a2 = 409

Solving
96 + 4a2 = 409

Solving for variable 'a'.

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

Add '-96' to each side of the equation.
96 + -96 + 4a2 = 409 + -96

Combine like terms: 96 + -96 = 0
0 + 4a2 = 409 + -96
4a2 = 409 + -96

Combine like terms: 409 + -96 = 313
4a2 = 313

Divide each side by '4'.
a2 = 78.25

Simplifying
a2 = 78.25

Take the square root of each side:
a = {-8.845903006, 8.845903006}