x^2+20x=4800

Solution for x^2+20x=4800 equation:

Simplifying
x2 + 20x = 4800

Reorder the terms:
20x + x2 = 4800

Solving
20x + x2 = 4800

Solving for variable 'x'.

Reorder the terms:
-4800 + 20x + x2 = 4800 + -4800

Combine like terms: 4800 + -4800 = 0
-4800 + 20x + x2 = 0

Factor a trinomial.
(-80 + -1x)(60 + -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 '(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 = {-80, 60}