(x-9)*(x-6)=

Solution for (x-9)*(x-6)= equation:

Simplifying
(x + -9)(x + -6) = 0

Reorder the terms:
(-9 + x)(x + -6) = 0

Reorder the terms:
(-9 + x)(-6 + x) = 0

Multiply (-9 + x) * (-6 + x)
(-9(-6 + x) + x(-6 + x)) = 0
((-6 * -9 + x * -9) + x(-6 + x)) = 0
((54 + -9x) + x(-6 + x)) = 0
(54 + -9x + (-6 * x + x * x)) = 0
(54 + -9x + (-6x + x2)) = 0

Combine like terms: -9x + -6x = -15x
(54 + -15x + x2) = 0

Solving
54 + -15x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(6 + -1x)(9 + -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 '(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
Solution
x = {6, 9}