(x-10)(x-2)=-16

Solution for (x-10)(x-2)=-16 equation:

Simplifying
(x + -10)(x + -2) = -16

Reorder the terms:
(-10 + x)(x + -2) = -16

Reorder the terms:
(-10 + x)(-2 + x) = -16

Multiply (-10 + x) * (-2 + x)
(-10(-2 + x) + x(-2 + x)) = -16
((-2 * -10 + x * -10) + x(-2 + x)) = -16
((20 + -10x) + x(-2 + x)) = -16
(20 + -10x + (-2 * x + x * x)) = -16
(20 + -10x + (-2x + x2)) = -16

Combine like terms: -10x + -2x = -12x
(20 + -12x + x2) = -16

Solving
20 + -12x + x2 = -16

Solving for variable 'x'.

Reorder the terms:
20 + 16 + -12x + x2 = -16 + 16

Combine like terms: 20 + 16 = 36
36 + -12x + x2 = -16 + 16

Combine like terms: -16 + 16 = 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}