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.
(-22 + -1x)(25 + -1x) = 0

Subproblem 1
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
Subproblem 2
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
Solution
x = {-22, 25}