(x-3)(x)=208

Solution for (x-3)(x)=208 equation:

Simplifying
(x + -3)(x) = 208

Reorder the terms:
(-3 + x)(x) = 208

Reorder the terms for easier multiplication:
x(-3 + x) = 208
(-3 * x + x * x) = 208
(-3x + x2) = 208

Solving
-3x + x2 = 208

Solving for variable 'x'.

Reorder the terms:
-208 + -3x + x2 = 208 + -208

Combine like terms: 208 + -208 = 0
-208 + -3x + x2 = 0

Factor a trinomial.
(-13 + -1x)(16 + -1x) = 0

Subproblem 1
Set the factor '(-13 + -1x)' equal to zero and attempt to solve:

Simplifying
-13 + -1x = 0

Solving
-13 + -1x = 0

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

Add '13' to each side of the equation.
-13 + 13 + -1x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -1x = 0 + 13
-1x = 0 + 13

Combine like terms: 0 + 13 = 13
-1x = 13

Divide each side by '-1'.
x = -13

Simplifying
x = -13
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 = {-13, 16}