[4q(q)]-12+9=0

Solution for [4q(q)]-12+9=0 equation:

Simplifying
[4q(q)] + -12 + 9 = 0

Multiply q * q
[4q2] + -12 + 9 = 0

Reorder the terms:
-12 + 9 + [4q2] = 0

Combine like terms: -12 + 9 = -3
-3 + [4q2] = 0

Solving
-3 + [4q2] = 0

Solving for variable 'q'.

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

Add '3' to each side of the equation.
-3 + 3 + [4q2] = 0 + 3

Combine like terms: -3 + 3 = 0
0 + [4q2] = 0 + 3
[4q2] = 0 + 3

Combine like terms: 0 + 3 = 3
[4q2] = 3

Divide each side by '4'.
q2 = 0.75

Simplifying
q2 = 0.75

Take the square root of each side:
q = {-0.866025404, 0.866025404}