x(x-20)=4800

Solution for x(x-20)=4800 equation:

Simplifying
x(x + -20) = 4800

Reorder the terms:
x(-20 + x) = 4800
(-20 * x + x * x) = 4800
(-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.
(-60 + -1x)(80 + -1x) = 0

Subproblem 1
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
Subproblem 2
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
Solution
x = {-60, 80}