x^2-9x+18-3=1

Solution for x^2-9x+18-3=1 equation:

Simplifying
x2 + -9x + 18 + -3 = 1

Reorder the terms:
18 + -3 + -9x + x2 = 1

Combine like terms: 18 + -3 = 15
15 + -9x + x2 = 1

Solving
15 + -9x + x2 = 1

Solving for variable 'x'.

Reorder the terms:
15 + -1 + -9x + x2 = 1 + -1

Combine like terms: 15 + -1 = 14
14 + -9x + x2 = 1 + -1

Combine like terms: 1 + -1 = 0
14 + -9x + x2 = 0

Factor a trinomial.
(2 + -1x)(7 + -1x) = 0

Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {2, 7}