x(x-6)=4(4+0)

Solution for x(x-6)=4(4+0) equation:

Simplifying
x(x + -6) = 4(4 + 0)

Reorder the terms:
x(-6 + x) = 4(4 + 0)
(-6 * x + x * x) = 4(4 + 0)
(-6x + x2) = 4(4 + 0)

Combine like terms: 4 + 0 = 4
-6x + x2 = 4(4)

Multiply 4 * 4
-6x + x2 = 16

Solving
-6x + x2 = 16

Solving for variable 'x'.

Reorder the terms:
-16 + -6x + x2 = 16 + -16

Combine like terms: 16 + -16 = 0
-16 + -6x + x2 = 0

Factor a trinomial.
(-2 + -1x)(8 + -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 '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {-2, 8}