4a^2-33=13

Solution for 4a^2-33=13 equation:

Simplifying
4a2 + -33 = 13

Reorder the terms:
-33 + 4a2 = 13

Solving
-33 + 4a2 = 13

Solving for variable 'a'.

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

Add '33' to each side of the equation.
-33 + 33 + 4a2 = 13 + 33

Combine like terms: -33 + 33 = 0
0 + 4a2 = 13 + 33
4a2 = 13 + 33

Combine like terms: 13 + 33 = 46
4a2 = 46

Divide each side by '4'.
a2 = 11.5

Simplifying
a2 = 11.5

Take the square root of each side:
a = {-3.391164992, 3.391164992}