(3+x)x=810

Solution for (3+x)x=810 equation:

Simplifying
(3 + x) * x = 810

Reorder the terms for easier multiplication:
x(3 + x) = 810
(3 * x + x * x) = 810
(3x + x2) = 810

Solving
3x + x2 = 810

Solving for variable 'x'.

Reorder the terms:
-810 + 3x + x2 = 810 + -810

Combine like terms: 810 + -810 = 0
-810 + 3x + x2 = 0

Factor a trinomial.
(-30 + -1x)(27 + -1x) = 0

Subproblem 1
Set the factor '(-30 + -1x)' equal to zero and attempt to solve:

Simplifying
-30 + -1x = 0

Solving
-30 + -1x = 0

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

Add '30' to each side of the equation.
-30 + 30 + -1x = 0 + 30

Combine like terms: -30 + 30 = 0
0 + -1x = 0 + 30
-1x = 0 + 30

Combine like terms: 0 + 30 = 30
-1x = 30

Divide each side by '-1'.
x = -30

Simplifying
x = -30
Subproblem 2
Set the factor '(27 + -1x)' equal to zero and attempt to solve:

Simplifying
27 + -1x = 0

Solving
27 + -1x = 0

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

Add '-27' to each side of the equation.
27 + -27 + -1x = 0 + -27

Combine like terms: 27 + -27 = 0
0 + -1x = 0 + -27
-1x = 0 + -27

Combine like terms: 0 + -27 = -27
-1x = -27

Divide each side by '-1'.
x = 27

Simplifying
x = 27
Solution
x = {-30, 27}