q^2-4q=-20

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Solution for q^2-4q=-20 equation: 


Simplifying
q2 + -4q = -20

Reorder the terms:
-4q + q2 = -20

Solving
-4q + q2 = -20

Solving for variable 'q'.

Reorder the terms:
20 + -4q + q2 = -20 + 20

Combine like terms: -20 + 20 = 0
20 + -4q + q2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-20' to each side of the equation.
20 + -4q + -20 + q2 = 0 + -20

Reorder the terms:
20 + -20 + -4q + q2 = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -4q + q2 = 0 + -20
-4q + q2 = 0 + -20

Combine like terms: 0 + -20 = -20
-4q + q2 = -20

The q term is -4q.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4q + 4 + q2 = -20 + 4

Reorder the terms:
4 + -4q + q2 = -20 + 4

Combine like terms: -20 + 4 = -16
4 + -4q + q2 = -16

Factor a perfect square on the left side:
(q + -2)(q + -2) = -16

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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