(x-6)(x-10)=60

Solution for (x-6)(x-10)=60 equation:

Simplifying
(x + -6)(x + -10) = 60

Reorder the terms:
(-6 + x)(x + -10) = 60

Reorder the terms:
(-6 + x)(-10 + x) = 60

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

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

Add '-60' to each side of the equation.
60 + -16x + -60 + x2 = 60 + -60

Reorder the terms:
60 + -60 + -16x + x2 = 60 + -60

Combine like terms: 60 + -60 = 0
0 + -16x + x2 = 60 + -60
-16x + x2 = 60 + -60

Combine like terms: 60 + -60 = 0
-16x + x2 = 0

Solving
-16x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-16 + x) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(-16 + x)' equal to zero and attempt to solve:

Simplifying
-16 + x = 0

Solving
-16 + x = 0

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

Add '16' to each side of the equation.
-16 + 16 + x = 0 + 16

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

Combine like terms: 0 + 16 = 16
x = 16

Simplifying
x = 16
Solution
x = {0, 16}