21+q(5-q)-5q=

Solution for 21+q(5-q)-5q= equation:

Simplifying
21 + q(5 + -1q) + -5q = 0
21 + (5 * q + -1q * q) + -5q = 0
21 + (5q + -1q2) + -5q = 0

Reorder the terms:
21 + 5q + -5q + -1q2 = 0

Combine like terms: 5q + -5q = 0
21 + 0 + -1q2 = 0
21 + -1q2 = 0

Solving
21 + -1q2 = 0

Solving for variable 'q'.

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

Add '-21' to each side of the equation.
21 + -21 + -1q2 = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -1q2 = 0 + -21
-1q2 = 0 + -21

Combine like terms: 0 + -21 = -21
-1q2 = -21

Divide each side by '-1'.
q2 = 21

Simplifying
q2 = 21

Take the square root of each side:
q = {-4.582575695, 4.582575695}