(x+10)x=3339

Solution for (x+10)x=3339 equation:

Simplifying
(x + 10) * x = 3339

Reorder the terms:
(10 + x) * x = 3339

Reorder the terms for easier multiplication:
x(10 + x) = 3339
(10 * x + x * x) = 3339
(10x + x2) = 3339

Solving
10x + x2 = 3339

Solving for variable 'x'.

Reorder the terms:
-3339 + 10x + x2 = 3339 + -3339

Combine like terms: 3339 + -3339 = 0
-3339 + 10x + x2 = 0

Factor a trinomial.
(-63 + -1x)(53 + -1x) = 0

Subproblem 1
Set the factor '(-63 + -1x)' equal to zero and attempt to solve:

Simplifying
-63 + -1x = 0

Solving
-63 + -1x = 0

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

Add '63' to each side of the equation.
-63 + 63 + -1x = 0 + 63

Combine like terms: -63 + 63 = 0
0 + -1x = 0 + 63
-1x = 0 + 63

Combine like terms: 0 + 63 = 63
-1x = 63

Divide each side by '-1'.
x = -63

Simplifying
x = -63
Subproblem 2
Set the factor '(53 + -1x)' equal to zero and attempt to solve:

Simplifying
53 + -1x = 0

Solving
53 + -1x = 0

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

Add '-53' to each side of the equation.
53 + -53 + -1x = 0 + -53

Combine like terms: 53 + -53 = 0
0 + -1x = 0 + -53
-1x = 0 + -53

Combine like terms: 0 + -53 = -53
-1x = -53

Divide each side by '-1'.
x = 53

Simplifying
x = 53
Solution
x = {-63, 53}