540-4q^2=4q^2

Solution for 540-4q^2=4q^2 equation:

Simplifying
540 + -4q2 = 4q2

Solving
540 + -4q2 = 4q2

Solving for variable 'q'.

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

Add '-4q2' to each side of the equation.
540 + -4q2 + -4q2 = 4q2 + -4q2

Combine like terms: -4q2 + -4q2 = -8q2
540 + -8q2 = 4q2 + -4q2

Combine like terms: 4q2 + -4q2 = 0
540 + -8q2 = 0

Add '-540' to each side of the equation.
540 + -540 + -8q2 = 0 + -540

Combine like terms: 540 + -540 = 0
0 + -8q2 = 0 + -540
-8q2 = 0 + -540

Combine like terms: 0 + -540 = -540
-8q2 = -540

Divide each side by '-8'.
q2 = 67.5

Simplifying
q2 = 67.5

Take the square root of each side:
q = {-8.215838363, 8.215838363}