(x+40)(x+60)=4800

Solution for (x+40)(x+60)=4800 equation:

Simplifying
(x + 40)(x + 60) = 4800

Reorder the terms:
(40 + x)(x + 60) = 4800

Reorder the terms:
(40 + x)(60 + x) = 4800

Multiply (40 + x) * (60 + x)
(40(60 + x) + x(60 + x)) = 4800
((60 * 40 + x * 40) + x(60 + x)) = 4800
((2400 + 40x) + x(60 + x)) = 4800
(2400 + 40x + (60 * x + x * x)) = 4800
(2400 + 40x + (60x + x2)) = 4800

Combine like terms: 40x + 60x = 100x
(2400 + 100x + x2) = 4800

Solving
2400 + 100x + x2 = 4800

Solving for variable 'x'.

Reorder the terms:
2400 + -4800 + 100x + x2 = 4800 + -4800

Combine like terms: 2400 + -4800 = -2400
-2400 + 100x + x2 = 4800 + -4800

Combine like terms: 4800 + -4800 = 0
-2400 + 100x + x2 = 0

Factor a trinomial.
(-120 + -1x)(20 + -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 '(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 = {-120, 20}