(X-1)(x+1)=185-x(x+1)

Solution for (X-1)(x+1)=185-x(x+1) equation:

Simplifying
(X + -1)(x + 1) = 185 + -1x(x + 1)

Reorder the terms:
(-1 + X)(x + 1) = 185 + -1x(x + 1)

Reorder the terms:
(-1 + X)(1 + x) = 185 + -1x(x + 1)

Multiply (-1 + X) * (1 + x)
(-1(1 + x) + X(1 + x)) = 185 + -1x(x + 1)
((1 * -1 + x * -1) + X(1 + x)) = 185 + -1x(x + 1)
((-1 + -1x) + X(1 + x)) = 185 + -1x(x + 1)
(-1 + -1x + (1 * X + x * X)) = 185 + -1x(x + 1)
(-1 + -1x + (1X + xX)) = 185 + -1x(x + 1)

Reorder the terms:
(-1 + 1X + -1x + xX) = 185 + -1x(x + 1)
(-1 + 1X + -1x + xX) = 185 + -1x(x + 1)

Reorder the terms:
-1 + 1X + -1x + xX = 185 + -1x(1 + x)
-1 + 1X + -1x + xX = 185 + (1 * -1x + x * -1x)
-1 + 1X + -1x + xX = 185 + (-1x + -1x2)

Add 'x' to each side of the equation.
-1 + 1X + -1x + x + xX = 185 + -1x + x + -1x2

Combine like terms: -1x + x = 0
-1 + 1X + 0 + xX = 185 + -1x + x + -1x2
-1 + 1X + xX = 185 + -1x + x + -1x2

Combine like terms: -1x + x = 0
-1 + 1X + xX = 185 + 0 + -1x2
-1 + 1X + xX = 185 + -1x2

Solving
-1 + 1X + xX = 185 + -1x2

Solving for variable 'X'.

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

Add '1' to each side of the equation.
-1 + 1X + 1 + xX = 185 + 1 + -1x2

Reorder the terms:
-1 + 1 + 1X + xX = 185 + 1 + -1x2

Combine like terms: -1 + 1 = 0
0 + 1X + xX = 185 + 1 + -1x2
1X + xX = 185 + 1 + -1x2

Combine like terms: 185 + 1 = 186
1X + xX = 186 + -1x2

Reorder the terms:
-186 + 1X + xX + x2 = 186 + -1x2 + -186 + x2

Reorder the terms:
-186 + 1X + xX + x2 = 186 + -186 + -1x2 + x2

Combine like terms: 186 + -186 = 0
-186 + 1X + xX + x2 = 0 + -1x2 + x2
-186 + 1X + xX + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-186 + 1X + xX + x2 = 0

The solution to this equation could not be determined.