(X-1)=(3-x)(3+x)

Solution for (X-1)=(3-x)(3+x) equation:

Simplifying
(X + -1) = (3 + -1x)(3 + x)

Reorder the terms:
(-1 + X) = (3 + -1x)(3 + x)

Remove parenthesis around (-1 + X)
-1 + X = (3 + -1x)(3 + x)

Multiply (3 + -1x) * (3 + x)
-1 + X = (3(3 + x) + -1x * (3 + x))
-1 + X = ((3 * 3 + x * 3) + -1x * (3 + x))
-1 + X = ((9 + 3x) + -1x * (3 + x))
-1 + X = (9 + 3x + (3 * -1x + x * -1x))
-1 + X = (9 + 3x + (-3x + -1x2))

Combine like terms: 3x + -3x = 0
-1 + X = (9 + 0 + -1x2)
-1 + X = (9 + -1x2)

Solving
-1 + X = 9 + -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 + 1 + X = 9 + 1 + -1x2

Combine like terms: -1 + 1 = 0
0 + X = 9 + 1 + -1x2
X = 9 + 1 + -1x2

Combine like terms: 9 + 1 = 10
X = 10 + -1x2

Simplifying
X = 10 + -1x2