x(x+50)=600

Solution for x(x+50)=600 equation:

Simplifying
x(x + 50) = 600

Reorder the terms:
x(50 + x) = 600
(50 * x + x * x) = 600
(50x + x2) = 600

Solving
50x + x2 = 600

Solving for variable 'x'.

Reorder the terms:
-600 + 50x + x2 = 600 + -600

Combine like terms: 600 + -600 = 0
-600 + 50x + x2 = 0

Factor a trinomial.
(-60 + -1x)(10 + -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 '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-60, 10}