x*(x+5)=3300

Solution for x*(x+5)=3300 equation:

Simplifying
x(x + 5) = 3300

Reorder the terms:
x(5 + x) = 3300
(5 * x + x * x) = 3300
(5x + x2) = 3300

Solving
5x + x2 = 3300

Solving for variable 'x'.

Reorder the terms:
-3300 + 5x + x2 = 3300 + -3300

Combine like terms: 3300 + -3300 = 0
-3300 + 5x + x2 = 0

Factor a trinomial.
(-60 + -1x)(55 + -1x) = 0

Subproblem 1
Set the factor '(-60 + -1x)' equal to zero and attempt to solve:

Simplifying
-60 + -1x = 0

Solving
-60 + -1x = 0

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

Add '60' to each side of the equation.
-60 + 60 + -1x = 0 + 60

Combine like terms: -60 + 60 = 0
0 + -1x = 0 + 60
-1x = 0 + 60

Combine like terms: 0 + 60 = 60
-1x = 60

Divide each side by '-1'.
x = -60

Simplifying
x = -60
Subproblem 2
Set the factor '(55 + -1x)' equal to zero and attempt to solve:

Simplifying
55 + -1x = 0

Solving
55 + -1x = 0

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

Add '-55' to each side of the equation.
55 + -55 + -1x = 0 + -55

Combine like terms: 55 + -55 = 0
0 + -1x = 0 + -55
-1x = 0 + -55

Combine like terms: 0 + -55 = -55
-1x = -55

Divide each side by '-1'.
x = 55

Simplifying
x = 55
Solution
x = {-60, 55}