Px^2+qx+1=0

Solution for Px^2+qx+1=0 equation:

Simplifying
Px2 + qx + 1 = 0

Reorder the terms:
1 + qx + x2P = 0

Solving
1 + qx + x2P = 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 + qx + -1 + x2P = 0 + -1

Reorder the terms:
1 + -1 + qx + x2P = 0 + -1

Combine like terms: 1 + -1 = 0
0 + qx + x2P = 0 + -1
qx + x2P = 0 + -1

Combine like terms: 0 + -1 = -1
qx + x2P = -1

Add '-1x2P' to each side of the equation.
qx + x2P + -1x2P = -1 + -1x2P

Combine like terms: x2P + -1x2P = 0
qx + 0 = -1 + -1x2P
qx = -1 + -1x2P

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

Simplifying
q = -1x-1 + -1xP