q(q+10)=-34

Solution for q(q+10)=-34 equation:

Simplifying
q(q + 10) = -34

Reorder the terms:
q(10 + q) = -34
(10 * q + q * q) = -34
(10q + q2) = -34

Solving
10q + q2 = -34

Solving for variable 'q'.

Reorder the terms:
34 + 10q + q2 = -34 + 34

Combine like terms: -34 + 34 = 0
34 + 10q + q2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-34' to each side of the equation.
34 + 10q + -34 + q2 = 0 + -34

Reorder the terms:
34 + -34 + 10q + q2 = 0 + -34

Combine like terms: 34 + -34 = 0
0 + 10q + q2 = 0 + -34
10q + q2 = 0 + -34

Combine like terms: 0 + -34 = -34
10q + q2 = -34

The q term is 10q.  Take half its coefficient (5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
10q + 25 + q2 = -34 + 25

Reorder the terms:
25 + 10q + q2 = -34 + 25

Combine like terms: -34 + 25 = -9
25 + 10q + q2 = -9

Factor a perfect square on the left side:
(q + 5)(q + 5) = -9

Can't calculate square root of the right side.

The solution to this equation could not be determined.