(x-18)(x-3)=16

Solution for (x-18)(x-3)=16 equation:

Simplifying
(x + -18)(x + -3) = 16

Reorder the terms:
(-18 + x)(x + -3) = 16

Reorder the terms:
(-18 + x)(-3 + x) = 16

Multiply (-18 + x) * (-3 + x)
(-18(-3 + x) + x(-3 + x)) = 16
((-3 * -18 + x * -18) + x(-3 + x)) = 16
((54 + -18x) + x(-3 + x)) = 16
(54 + -18x + (-3 * x + x * x)) = 16
(54 + -18x + (-3x + x2)) = 16

Combine like terms: -18x + -3x = -21x
(54 + -21x + x2) = 16

Solving
54 + -21x + x2 = 16

Solving for variable 'x'.

Reorder the terms:
54 + -16 + -21x + x2 = 16 + -16

Combine like terms: 54 + -16 = 38
38 + -21x + x2 = 16 + -16

Combine like terms: 16 + -16 = 0
38 + -21x + x2 = 0

Factor a trinomial.
(2 + -1x)(19 + -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 '(19 + -1x)' equal to zero and attempt to solve:

Simplifying
19 + -1x = 0

Solving
19 + -1x = 0

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

Add '-19' to each side of the equation.
19 + -19 + -1x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -1x = 0 + -19
-1x = 0 + -19

Combine like terms: 0 + -19 = -19
-1x = -19

Divide each side by '-1'.
x = 19

Simplifying
x = 19
Solution
x = {2, 19}