(x-16)(x-10)=40

Solution for (x-16)(x-10)=40 equation:

Simplifying
(x + -16)(x + -10) = 40

Reorder the terms:
(-16 + x)(x + -10) = 40

Reorder the terms:
(-16 + x)(-10 + x) = 40

Multiply (-16 + x) * (-10 + x)
(-16(-10 + x) + x(-10 + x)) = 40
((-10 * -16 + x * -16) + x(-10 + x)) = 40
((160 + -16x) + x(-10 + x)) = 40
(160 + -16x + (-10 * x + x * x)) = 40
(160 + -16x + (-10x + x2)) = 40

Combine like terms: -16x + -10x = -26x
(160 + -26x + x2) = 40

Solving
160 + -26x + x2 = 40

Solving for variable 'x'.

Reorder the terms:
160 + -40 + -26x + x2 = 40 + -40

Combine like terms: 160 + -40 = 120
120 + -26x + x2 = 40 + -40

Combine like terms: 40 + -40 = 0
120 + -26x + x2 = 0

Factor a trinomial.
(6 + -1x)(20 + -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 '(20 + -1x)' equal to zero and attempt to solve:

Simplifying
20 + -1x = 0

Solving
20 + -1x = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 0 + -20
-1x = 0 + -20

Combine like terms: 0 + -20 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20
Solution
x = {6, 20}