x(x-17)=18

Solution for x(x-17)=18 equation:

Simplifying
x(x + -17) = 18

Reorder the terms:
x(-17 + x) = 18
(-17 * x + x * x) = 18
(-17x + x2) = 18

Solving
-17x + x2 = 18

Solving for variable 'x'.

Reorder the terms:
-18 + -17x + x2 = 18 + -18

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

Factor a trinomial.
(-1 + -1x)(18 + -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 '(18 + -1x)' equal to zero and attempt to solve:

Simplifying
18 + -1x = 0

Solving
18 + -1x = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = 0 + -18
-1x = 0 + -18

Combine like terms: 0 + -18 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18
Solution
x = {-1, 18}