x(x+3)=550

Solution for x(x+3)=550 equation:

Simplifying
x(x + 3) = 550

Reorder the terms:
x(3 + x) = 550
(3 * x + x * x) = 550
(3x + x2) = 550

Solving
3x + x2 = 550

Solving for variable 'x'.

Reorder the terms:
-550 + 3x + x2 = 550 + -550

Combine like terms: 550 + -550 = 0
-550 + 3x + x2 = 0

Factor a trinomial.
(-25 + -1x)(22 + -1x) = 0

Subproblem 1
Set the factor '(-25 + -1x)' equal to zero and attempt to solve:

Simplifying
-25 + -1x = 0

Solving
-25 + -1x = 0

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

Add '25' to each side of the equation.
-25 + 25 + -1x = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -1x = 0 + 25
-1x = 0 + 25

Combine like terms: 0 + 25 = 25
-1x = 25

Divide each side by '-1'.
x = -25

Simplifying
x = -25
Subproblem 2
Set the factor '(22 + -1x)' equal to zero and attempt to solve:

Simplifying
22 + -1x = 0

Solving
22 + -1x = 0

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

Add '-22' to each side of the equation.
22 + -22 + -1x = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -1x = 0 + -22
-1x = 0 + -22

Combine like terms: 0 + -22 = -22
-1x = -22

Divide each side by '-1'.
x = 22

Simplifying
x = 22
Solution
x = {-25, 22}