27=(x-6)(x)

Solution for 27=(x-6)(x) equation:

Simplifying
27 = (x + -6)(x)

Reorder the terms:
27 = (-6 + x)(x)

Reorder the terms for easier multiplication:
27 = x(-6 + x)
27 = (-6 * x + x * x)
27 = (-6x + x2)

Solving
27 = -6x + x2

Solving for variable 'x'.

Reorder the terms:
27 + 6x + -1x2 = -6x + 6x + x2 + -1x2

Combine like terms: -6x + 6x = 0
27 + 6x + -1x2 = 0 + x2 + -1x2
27 + 6x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
27 + 6x + -1x2 = 0

Factor a trinomial.
(9 + -1x)(3 + x) = 0

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

Simplifying
9 + -1x = 0

Solving
9 + -1x = 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 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {9, -3}