X^2+20X-4800=0

Solution for X^2+20X-4800=0 equation:

Simplifying
X2 + 20X + -4800 = 0

Reorder the terms:
-4800 + 20X + X2 = 0

Solving
-4800 + 20X + X2 = 0

Solving for variable 'X'.

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}