(x+140)(x)=48000

Solution for (x+140)(x)=48000 equation:

Simplifying
(x + 140)(x) = 48000

Reorder the terms:
(140 + x)(x) = 48000

Reorder the terms for easier multiplication:
x(140 + x) = 48000
(140 * x + x * x) = 48000
(140x + x2) = 48000

Solving
140x + x2 = 48000

Solving for variable 'x'.

Reorder the terms:
-48000 + 140x + x2 = 48000 + -48000

Combine like terms: 48000 + -48000 = 0
-48000 + 140x + x2 = 0

Factor a trinomial.
(-300 + -1x)(160 + -1x) = 0

Subproblem 1
Set the factor '(-300 + -1x)' equal to zero and attempt to solve:

Simplifying
-300 + -1x = 0

Solving
-300 + -1x = 0

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

Add '300' to each side of the equation.
-300 + 300 + -1x = 0 + 300

Combine like terms: -300 + 300 = 0
0 + -1x = 0 + 300
-1x = 0 + 300

Combine like terms: 0 + 300 = 300
-1x = 300

Divide each side by '-1'.
x = -300

Simplifying
x = -300
Subproblem 2
Set the factor '(160 + -1x)' equal to zero and attempt to solve:

Simplifying
160 + -1x = 0

Solving
160 + -1x = 0

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

Add '-160' to each side of the equation.
160 + -160 + -1x = 0 + -160

Combine like terms: 160 + -160 = 0
0 + -1x = 0 + -160
-1x = 0 + -160

Combine like terms: 0 + -160 = -160
-1x = -160

Divide each side by '-1'.
x = 160

Simplifying
x = 160
Solution
x = {-300, 160}