x(x+50)=2400

Solution for x(x+50)=2400 equation:

Simplifying
x(x + 50) = 2400

Reorder the terms:
x(50 + x) = 2400
(50 * x + x * x) = 2400
(50x + x2) = 2400

Solving
50x + x2 = 2400

Solving for variable 'x'.

Reorder the terms:
-2400 + 50x + x2 = 2400 + -2400

Combine like terms: 2400 + -2400 = 0
-2400 + 50x + x2 = 0

Factor a trinomial.
(-80 + -1x)(30 + -1x) = 0

Subproblem 1
Set the factor '(-80 + -1x)' equal to zero and attempt to solve:

Simplifying
-80 + -1x = 0

Solving
-80 + -1x = 0

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

Add '80' to each side of the equation.
-80 + 80 + -1x = 0 + 80

Combine like terms: -80 + 80 = 0
0 + -1x = 0 + 80
-1x = 0 + 80

Combine like terms: 0 + 80 = 80
-1x = 80

Divide each side by '-1'.
x = -80

Simplifying
x = -80
Subproblem 2
Set the factor '(30 + -1x)' equal to zero and attempt to solve:

Simplifying
30 + -1x = 0

Solving
30 + -1x = 0

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

Add '-30' to each side of the equation.
30 + -30 + -1x = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -1x = 0 + -30
-1x = 0 + -30

Combine like terms: 0 + -30 = -30
-1x = -30

Divide each side by '-1'.
x = 30

Simplifying
x = 30
Solution
x = {-80, 30}