(x-4)(x)=165

Solution for (x-4)(x)=165 equation:

Simplifying
(x + -4)(x) = 165

Reorder the terms:
(-4 + x)(x) = 165

Reorder the terms for easier multiplication:
x(-4 + x) = 165
(-4 * x + x * x) = 165
(-4x + x2) = 165

Solving
-4x + x2 = 165

Solving for variable 'x'.

Reorder the terms:
-165 + -4x + x2 = 165 + -165

Combine like terms: 165 + -165 = 0
-165 + -4x + x2 = 0

Factor a trinomial.
(-11 + -1x)(15 + -1x) = 0

Subproblem 1
Set the factor '(-11 + -1x)' equal to zero and attempt to solve:

Simplifying
-11 + -1x = 0

Solving
-11 + -1x = 0

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

Add '11' to each side of the equation.
-11 + 11 + -1x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1x = 0 + 11
-1x = 0 + 11

Combine like terms: 0 + 11 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11
Subproblem 2
Set the factor '(15 + -1x)' equal to zero and attempt to solve:

Simplifying
15 + -1x = 0

Solving
15 + -1x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15
Solution
x = {-11, 15}