(x+3)(x+18)=6x

Solution for (x+3)(x+18)=6x equation:

Simplifying
(x + 3)(x + 18) = 6x

Reorder the terms:
(3 + x)(x + 18) = 6x

Reorder the terms:
(3 + x)(18 + x) = 6x

Multiply (3 + x) * (18 + x)
(3(18 + x) + x(18 + x)) = 6x
((18 * 3 + x * 3) + x(18 + x)) = 6x
((54 + 3x) + x(18 + x)) = 6x
(54 + 3x + (18 * x + x * x)) = 6x
(54 + 3x + (18x + x2)) = 6x

Combine like terms: 3x + 18x = 21x
(54 + 21x + x2) = 6x

Solving
54 + 21x + x2 = 6x

Solving for variable 'x'.

Reorder the terms:
54 + 21x + -6x + x2 = 6x + -6x

Combine like terms: 21x + -6x = 15x
54 + 15x + x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
54 + 15x + x2 = 0

Factor a trinomial.
(9 + x)(6 + x) = 0

Subproblem 1
Set the factor '(9 + x)' equal to zero and attempt to solve:

Simplifying
9 + x = 0

Solving
9 + x = 0

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

Add '-9' to each side of the equation.
9 + -9 + x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + x = 0 + -9
x = 0 + -9

Combine like terms: 0 + -9 = -9
x = -9

Simplifying
x = -9
Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
Solution
x = {-9, -6}