X^2-8X-9=X+1

Solution for X^2-8X-9=X+1 equation:

Simplifying
X2 + -8X + -9 = X + 1

Reorder the terms:
-9 + -8X + X2 = X + 1

Reorder the terms:
-9 + -8X + X2 = 1 + X

Solving
-9 + -8X + X2 = 1 + X

Solving for variable 'X'.

Reorder the terms:
-9 + -1 + -8X + -1X + X2 = 1 + X + -1 + -1X

Combine like terms: -9 + -1 = -10
-10 + -8X + -1X + X2 = 1 + X + -1 + -1X

Combine like terms: -8X + -1X = -9X
-10 + -9X + X2 = 1 + X + -1 + -1X

Reorder the terms:
-10 + -9X + X2 = 1 + -1 + X + -1X

Combine like terms: 1 + -1 = 0
-10 + -9X + X2 = 0 + X + -1X
-10 + -9X + X2 = X + -1X

Combine like terms: X + -1X = 0
-10 + -9X + X2 = 0

Factor a trinomial.
(-1 + -1X)(10 + -1X) = 0

Subproblem 1
Set the factor '(-1 + -1X)' equal to zero and attempt to solve:

Simplifying
-1 + -1X = 0

Solving
-1 + -1X = 0

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

Add '1' to each side of the equation.
-1 + 1 + -1X = 0 + 1

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

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

Divide each side by '-1'.
X = -1

Simplifying
X = -1
Subproblem 2
Set the factor '(10 + -1X)' equal to zero and attempt to solve:

Simplifying
10 + -1X = 0

Solving
10 + -1X = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1X = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1X = 0 + -10
-1X = 0 + -10

Combine like terms: 0 + -10 = -10
-1X = -10

Divide each side by '-1'.
X = 10

Simplifying
X = 10
Solution
X = {-1, 10}