(x-3)(x-16)=

Solution for (x-3)(x-16)= equation:

Simplifying
(x + -3)(x + -16) = 0

Reorder the terms:
(-3 + x)(x + -16) = 0

Reorder the terms:
(-3 + x)(-16 + x) = 0

Multiply (-3 + x) * (-16 + x)
(-3(-16 + x) + x(-16 + x)) = 0
((-16 * -3 + x * -3) + x(-16 + x)) = 0
((48 + -3x) + x(-16 + x)) = 0
(48 + -3x + (-16 * x + x * x)) = 0
(48 + -3x + (-16x + x2)) = 0

Combine like terms: -3x + -16x = -19x
(48 + -19x + x2) = 0

Solving
48 + -19x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + -1x)(16 + -1x) = 0

Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Subproblem 2
Set the factor '(16 + -1x)' equal to zero and attempt to solve:

Simplifying
16 + -1x = 0

Solving
16 + -1x = 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 + -1x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 0 + -16
-1x = 0 + -16

Combine like terms: 0 + -16 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16
Solution
x = {3, 16}