11a^2-2=1582

Solution for 11a^2-2=1582 equation:

Simplifying
11a2 + -2 = 1582

Reorder the terms:
-2 + 11a2 = 1582

Solving
-2 + 11a2 = 1582

Solving for variable 'a'.

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

Add '2' to each side of the equation.
-2 + 2 + 11a2 = 1582 + 2

Combine like terms: -2 + 2 = 0
0 + 11a2 = 1582 + 2
11a2 = 1582 + 2

Combine like terms: 1582 + 2 = 1584
11a2 = 1584

Divide each side by '11'.
a2 = 144

Simplifying
a2 = 144

Take the square root of each side:
a = {-12, 12}