11a^2-32+17=20

Solution for 11a^2-32+17=20 equation:

Simplifying
11a2 + -32 + 17 = 20

Reorder the terms:
-32 + 17 + 11a2 = 20

Combine like terms: -32 + 17 = -15
-15 + 11a2 = 20

Solving
-15 + 11a2 = 20

Solving for variable 'a'.

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

Add '15' to each side of the equation.
-15 + 15 + 11a2 = 20 + 15

Combine like terms: -15 + 15 = 0
0 + 11a2 = 20 + 15
11a2 = 20 + 15

Combine like terms: 20 + 15 = 35
11a2 = 35

Divide each side by '11'.
a2 = 3.181818182

Simplifying
a2 = 3.181818182

Take the square root of each side:
a = {-1.78376517, 1.78376517}