4(q*q)-1=0

Solution for 4(q*q)-1=0 equation:

Simplifying
4(q * q) + -1 = 0

Multiply q * q
4(q2) + -1 = 0

Reorder the terms:
-1 + 4q2 = 0

Solving
-1 + 4q2 = 0

Solving for variable 'q'.

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

Add '1' to each side of the equation.
-1 + 1 + 4q2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 4q2 = 0 + 1
4q2 = 0 + 1

Combine like terms: 0 + 1 = 1
4q2 = 1

Divide each side by '4'.
q2 = 0.25

Simplifying
q2 = 0.25

Take the square root of each side:
q = {-0.5, 0.5}