x^2-18x+54=-2

Solution for x^2-18x+54=-2 equation:

Simplifying
x2 + -18x + 54 = -2

Reorder the terms:
54 + -18x + x2 = -2

Solving
54 + -18x + x2 = -2

Solving for variable 'x'.

Reorder the terms:
54 + 2 + -18x + x2 = -2 + 2

Combine like terms: 54 + 2 = 56
56 + -18x + x2 = -2 + 2

Combine like terms: -2 + 2 = 0
56 + -18x + x2 = 0

Factor a trinomial.
(4 + -1x)(14 + -1x) = 0

Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Subproblem 2
Set the factor '(14 + -1x)' equal to zero and attempt to solve:

Simplifying
14 + -1x = 0

Solving
14 + -1x = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1x = 0 + -14

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

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

Divide each side by '-1'.
x = 14

Simplifying
x = 14
Solution
x = {4, 14}