x(x+60)=1600

Solution for x(x+60)=1600 equation:

Simplifying
x(x + 60) = 1600

Reorder the terms:
x(60 + x) = 1600
(60 * x + x * x) = 1600
(60x + x2) = 1600

Solving
60x + x2 = 1600

Solving for variable 'x'.

Reorder the terms:
-1600 + 60x + x2 = 1600 + -1600

Combine like terms: 1600 + -1600 = 0
-1600 + 60x + x2 = 0

Factor a trinomial.
(-80 + -1x)(20 + -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 '(20 + -1x)' equal to zero and attempt to solve:

Simplifying
20 + -1x = 0

Solving
20 + -1x = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 0 + -20
-1x = 0 + -20

Combine like terms: 0 + -20 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20
Solution
x = {-80, 20}