806=(5+X)X

Solution for 806=(5+X)X equation:

Simplifying
806 = (5 + X) * X

Reorder the terms for easier multiplication:
806 = X(5 + X)
806 = (5 * X + X * X)
806 = (5X + X2)

Solving
806 = 5X + X2

Solving for variable 'X'.

Reorder the terms:
806 + -5X + -1X2 = 5X + -5X + X2 + -1X2

Combine like terms: 5X + -5X = 0
806 + -5X + -1X2 = 0 + X2 + -1X2
806 + -5X + -1X2 = X2 + -1X2

Combine like terms: X2 + -1X2 = 0
806 + -5X + -1X2 = 0

Factor a trinomial.
(26 + -1X)(31 + X) = 0

Subproblem 1
Set the factor '(26 + -1X)' equal to zero and attempt to solve:

Simplifying
26 + -1X = 0

Solving
26 + -1X = 0

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

Add '-26' to each side of the equation.
26 + -26 + -1X = 0 + -26

Combine like terms: 26 + -26 = 0
0 + -1X = 0 + -26
-1X = 0 + -26

Combine like terms: 0 + -26 = -26
-1X = -26

Divide each side by '-1'.
X = 26

Simplifying
X = 26
Subproblem 2
Set the factor '(31 + X)' equal to zero and attempt to solve:

Simplifying
31 + X = 0

Solving
31 + X = 0

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

Add '-31' to each side of the equation.
31 + -31 + X = 0 + -31

Combine like terms: 31 + -31 = 0
0 + X = 0 + -31
X = 0 + -31

Combine like terms: 0 + -31 = -31
X = -31

Simplifying
X = -31
Solution
X = {26, -31}