x^2+4x=3840

Solution for x^2+4x=3840 equation:

Simplifying
x2 + 4x = 3840

Reorder the terms:
4x + x2 = 3840

Solving
4x + x2 = 3840

Solving for variable 'x'.

Reorder the terms:
-3840 + 4x + x2 = 3840 + -3840

Combine like terms: 3840 + -3840 = 0
-3840 + 4x + x2 = 0

Factor a trinomial.
(-64 + -1x)(60 + -1x) = 0

Subproblem 1
Set the factor '(-64 + -1x)' equal to zero and attempt to solve:

Simplifying
-64 + -1x = 0

Solving
-64 + -1x = 0

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

Add '64' to each side of the equation.
-64 + 64 + -1x = 0 + 64

Combine like terms: -64 + 64 = 0
0 + -1x = 0 + 64
-1x = 0 + 64

Combine like terms: 0 + 64 = 64
-1x = 64

Divide each side by '-1'.
x = -64

Simplifying
x = -64
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 = {-64, 60}