12+q(5-q)-5q=0

Solution for 12+q(5-q)-5q=0 equation:

Simplifying
12 + q(5 + -1q) + -5q = 0
12 + (5 * q + -1q * q) + -5q = 0
12 + (5q + -1q2) + -5q = 0

Reorder the terms:
12 + 5q + -5q + -1q2 = 0

Combine like terms: 5q + -5q = 0
12 + 0 + -1q2 = 0
12 + -1q2 = 0

Solving
12 + -1q2 = 0

Solving for variable 'q'.

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

Add '-12' to each side of the equation.
12 + -12 + -1q2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1q2 = 0 + -12
-1q2 = 0 + -12

Combine like terms: 0 + -12 = -12
-1q2 = -12

Divide each side by '-1'.
q2 = 12

Simplifying
q2 = 12

Take the square root of each side:
q = {-3.464101615, 3.464101615}