x^2+qx+1=-2

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Solution for x^2+qx+1=-2 equation: 


Simplifying
x2 + qx + 1 = -2

Reorder the terms:
1 + qx + x2 = -2

Solving
1 + qx + x2 = -2

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 + qx + -1 + x2 = -2 + -1

Reorder the terms:
1 + -1 + qx + x2 = -2 + -1

Combine like terms: 1 + -1 = 0
0 + qx + x2 = -2 + -1
qx + x2 = -2 + -1

Combine like terms: -2 + -1 = -3
qx + x2 = -3

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

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

Divide each side by 'x'.
q = -3x-1 + -1x

Simplifying
q = -3x-1 + -1x

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