x^2+3q+1=0

Solution for x^2+3q+1=0 equation:

Simplifying
x2 + 3q + 1 = 0

Reorder the terms:
1 + 3q + x2 = 0

Solving
1 + 3q + x2 = 0

Solving for variable 'q'.

Move all terms containing q to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + 3q + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + 3q + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3q + x2 = 0 + -1
3q + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
3q + x2 = -1

Add '-1x2' to each side of the equation.
3q + x2 + -1x2 = -1 + -1x2

Combine like terms: x2 + -1x2 = 0
3q + 0 = -1 + -1x2
3q = -1 + -1x2

Divide each side by '3'.
q = -0.3333333333 + -0.3333333333x2

Simplifying
q = -0.3333333333 + -0.3333333333x2