x(x-8)=4(x-9)

Solution for x(x-8)=4(x-9) equation:

Simplifying
x(x + -8) = 4(x + -9)

Reorder the terms:
x(-8 + x) = 4(x + -9)
(-8 * x + x * x) = 4(x + -9)
(-8x + x2) = 4(x + -9)

Reorder the terms:
-8x + x2 = 4(-9 + x)
-8x + x2 = (-9 * 4 + x * 4)
-8x + x2 = (-36 + 4x)

Solving
-8x + x2 = -36 + 4x

Solving for variable 'x'.

Reorder the terms:
36 + -8x + -4x + x2 = -36 + 4x + 36 + -4x

Combine like terms: -8x + -4x = -12x
36 + -12x + x2 = -36 + 4x + 36 + -4x

Reorder the terms:
36 + -12x + x2 = -36 + 36 + 4x + -4x

Combine like terms: -36 + 36 = 0
36 + -12x + x2 = 0 + 4x + -4x
36 + -12x + x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
36 + -12x + x2 = 0

Factor a trinomial.
(6 + -1x)(6 + -1x) = 0

Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 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 + -1x = 0 + -6

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

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

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 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 + -1x = 0 + -6

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

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

Divide each side by '-1'.
x = 6

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