q^2-3q+37=

Solution for q^2-3q+37= equation:

Simplifying
q2 + -3q + 37 = 0

Reorder the terms:
37 + -3q + q2 = 0

Solving
37 + -3q + q2 = 0

Solving for variable 'q'.

Begin completing the square.

Move the constant term to the right:

Add '-37' to each side of the equation.
37 + -3q + -37 + q2 = 0 + -37

Reorder the terms:
37 + -37 + -3q + q2 = 0 + -37

Combine like terms: 37 + -37 = 0
0 + -3q + q2 = 0 + -37
-3q + q2 = 0 + -37

Combine like terms: 0 + -37 = -37
-3q + q2 = -37

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 = -37 + 2.25

Reorder the terms:
2.25 + -3q + q2 = -37 + 2.25

Combine like terms: -37 + 2.25 = -34.75
2.25 + -3q + q2 = -34.75

Factor a perfect square on the left side:
(q + -1.5)(q + -1.5) = -34.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.