X(14-X)=33

Solution for X(14-X)=33 equation:

Simplifying
X(14 + -1X) = 33
(14 * X + -1X * X) = 33
(14X + -1X2) = 33

Solving
14X + -1X2 = 33

Solving for variable 'X'.

Reorder the terms:
-33 + 14X + -1X2 = 33 + -33

Combine like terms: 33 + -33 = 0
-33 + 14X + -1X2 = 0

Factor a trinomial.
(-11 + X)(3 + -1X) = 0

Subproblem 1
Set the factor '(-11 + X)' equal to zero and attempt to solve:

Simplifying
-11 + X = 0

Solving
-11 + X = 0

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

Add '11' to each side of the equation.
-11 + 11 + X = 0 + 11

Combine like terms: -11 + 11 = 0
0 + X = 0 + 11
X = 0 + 11

Combine like terms: 0 + 11 = 11
X = 11

Simplifying
X = 11
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 = {11, 3}