(1+p^2)x=1

Solution for (1+p^2)x=1 equation:

Simplifying
(1 + p2) * x = 1

Reorder the terms for easier multiplication:
x(1 + p2) = 1
(1 * x + p2 * x) = 1

Reorder the terms:
(p2x + 1x) = 1
(p2x + 1x) = 1

Solving
p2x + 1x = 1

Solving for variable 'p'.

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

Add '-1x' to each side of the equation.
p2x + 1x + -1x = 1 + -1x

Combine like terms: 1x + -1x = 0
p2x + 0 = 1 + -1x
p2x = 1 + -1x

Divide each side by 'x'.
p2 = x-1 + -1

Simplifying
p2 = x-1 + -1

Reorder the terms:
p2 = -1 + x-1

Reorder the terms:
1 + p2 + -1x-1 = -1 + x-1 + 1 + -1x-1

Reorder the terms:
1 + p2 + -1x-1 = -1 + 1 + x-1 + -1x-1

Combine like terms: -1 + 1 = 0
1 + p2 + -1x-1 = 0 + x-1 + -1x-1
1 + p2 + -1x-1 = x-1 + -1x-1

Combine like terms: x-1 + -1x-1 = 0
1 + p2 + -1x-1 = 0

The solution to this equation could not be determined.