x^2-18x+27=10

Solution for x^2-18x+27=10 equation:

Simplifying
x2 + -18x + 27 = 10

Reorder the terms:
27 + -18x + x2 = 10

Solving
27 + -18x + x2 = 10

Solving for variable 'x'.

Reorder the terms:
27 + -10 + -18x + x2 = 10 + -10

Combine like terms: 27 + -10 = 17
17 + -18x + x2 = 10 + -10

Combine like terms: 10 + -10 = 0
17 + -18x + x2 = 0

Factor a trinomial.
(1 + -1x)(17 + -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 '(17 + -1x)' equal to zero and attempt to solve:

Simplifying
17 + -1x = 0

Solving
17 + -1x = 0

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

Add '-17' to each side of the equation.
17 + -17 + -1x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -1x = 0 + -17
-1x = 0 + -17

Combine like terms: 0 + -17 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17
Solution
x = {1, 17}