x(x+60)=7200

Solution for x(x+60)=7200 equation:

Simplifying
x(x + 60) = 7200

Reorder the terms:
x(60 + x) = 7200
(60 * x + x * x) = 7200
(60x + x2) = 7200

Solving
60x + x2 = 7200

Solving for variable 'x'.

Reorder the terms:
-7200 + 60x + x2 = 7200 + -7200

Combine like terms: 7200 + -7200 = 0
-7200 + 60x + x2 = 0

Factor a trinomial.
(-120 + -1x)(60 + -1x) = 0

Subproblem 1
Set the factor '(-120 + -1x)' equal to zero and attempt to solve:

Simplifying
-120 + -1x = 0

Solving
-120 + -1x = 0

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

Add '120' to each side of the equation.
-120 + 120 + -1x = 0 + 120

Combine like terms: -120 + 120 = 0
0 + -1x = 0 + 120
-1x = 0 + 120

Combine like terms: 0 + 120 = 120
-1x = 120

Divide each side by '-1'.
x = -120

Simplifying
x = -120
Subproblem 2
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
Solution
x = {-120, 60}