9q^2-32=27

Solution for 9q^2-32=27 equation:

Simplifying
9q2 + -32 = 27

Reorder the terms:
-32 + 9q2 = 27

Solving
-32 + 9q2 = 27

Solving for variable 'q'.

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

Add '32' to each side of the equation.
-32 + 32 + 9q2 = 27 + 32

Combine like terms: -32 + 32 = 0
0 + 9q2 = 27 + 32
9q2 = 27 + 32

Combine like terms: 27 + 32 = 59
9q2 = 59

Divide each side by '9'.
q2 = 6.555555556

Simplifying
q2 = 6.555555556

Take the square root of each side:
q = {-2.560381916, 2.560381916}