q^2-4q=-10

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Solution for q^2-4q=-10 equation: 


Simplifying
q2 + -4q = -10

Reorder the terms:
-4q + q2 = -10

Solving
-4q + q2 = -10

Solving for variable 'q'.

Reorder the terms:
10 + -4q + q2 = -10 + 10

Combine like terms: -10 + 10 = 0
10 + -4q + q2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + -4q + -10 + q2 = 0 + -10

Reorder the terms:
10 + -10 + -4q + q2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -4q + q2 = 0 + -10
-4q + q2 = 0 + -10

Combine like terms: 0 + -10 = -10
-4q + q2 = -10

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 = -10 + 4

Reorder the terms:
4 + -4q + q2 = -10 + 4

Combine like terms: -10 + 4 = -6
4 + -4q + q2 = -6

Factor a perfect square on the left side:
(q + -2)(q + -2) = -6

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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