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

Solution for x(x+16)-3(x+16)=0 equation:

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

Reorder the terms:
x(16 + x) + -3(x + 16) = 0
(16 * x + x * x) + -3(x + 16) = 0
(16x + x2) + -3(x + 16) = 0

Reorder the terms:
16x + x2 + -3(16 + x) = 0
16x + x2 + (16 * -3 + x * -3) = 0
16x + x2 + (-48 + -3x) = 0

Reorder the terms:
-48 + 16x + -3x + x2 = 0

Combine like terms: 16x + -3x = 13x
-48 + 13x + x2 = 0

Solving
-48 + 13x + x2 = 0

Solving for variable 'x'.

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

Subproblem 1
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
Subproblem 2
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
Solution
x = {-16, 3}