q^2+3q+36=0

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Solution for q^2+3q+36=0 equation:


Simplifying
q2 + 3q + 36 = 0

Reorder the terms:
36 + 3q + q2 = 0

Solving
36 + 3q + q2 = 0

Solving for variable 'q'.

Begin completing the square.

Move the constant term to the right:

Add '-36' to each side of the equation.
36 + 3q + -36 + q2 = 0 + -36

Reorder the terms:
36 + -36 + 3q + q2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + 3q + q2 = 0 + -36
3q + q2 = 0 + -36

Combine like terms: 0 + -36 = -36
3q + q2 = -36

The q term is 3q.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3q + 2.25 + q2 = -36 + 2.25

Reorder the terms:
2.25 + 3q + q2 = -36 + 2.25

Combine like terms: -36 + 2.25 = -33.75
2.25 + 3q + q2 = -33.75

Factor a perfect square on the left side:
(q + 1.5)(q + 1.5) = -33.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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