(x-10)(x-6)=0

Solution for (x-10)(x-6)=0 equation:

Simplifying
(x + -10)(x + -6) = 0

Reorder the terms:
(-10 + x)(x + -6) = 0

Reorder the terms:
(-10 + x)(-6 + x) = 0

Multiply (-10 + x) * (-6 + x)
(-10(-6 + x) + x(-6 + x)) = 0
((-6 * -10 + x * -10) + x(-6 + x)) = 0
((60 + -10x) + x(-6 + x)) = 0
(60 + -10x + (-6 * x + x * x)) = 0
(60 + -10x + (-6x + x2)) = 0

Combine like terms: -10x + -6x = -16x
(60 + -16x + x2) = 0

Solving
60 + -16x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(6 + -1x)(10 + -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 '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {6, 10}