27=3*(q^2)

Solution for 27=3*(q^2) equation:

Simplifying
27 = 3(q2)

Solving
27 = 3q2

Solving for variable 'q'.

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

Add '-3q2' to each side of the equation.
27 + -3q2 = 3q2 + -3q2

Combine like terms: 3q2 + -3q2 = 0
27 + -3q2 = 0

Add '-27' to each side of the equation.
27 + -27 + -3q2 = 0 + -27

Combine like terms: 27 + -27 = 0
0 + -3q2 = 0 + -27
-3q2 = 0 + -27

Combine like terms: 0 + -27 = -27
-3q2 = -27

Divide each side by '-3'.
q2 = 9

Simplifying
q2 = 9

Take the square root of each side:
q = {-3, 3}