x^2-2x-2400=0

Solution for x^2-2x-2400=0 equation:

Simplifying
x2 + -2x + -2400 = 0

Reorder the terms:
-2400 + -2x + x2 = 0

Solving
-2400 + -2x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-48 + -1x)(50 + -1x) = 0

Subproblem 1
Set the factor '(-48 + -1x)' equal to zero and attempt to solve:

Simplifying
-48 + -1x = 0

Solving
-48 + -1x = 0

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

Add '48' to each side of the equation.
-48 + 48 + -1x = 0 + 48

Combine like terms: -48 + 48 = 0
0 + -1x = 0 + 48
-1x = 0 + 48

Combine like terms: 0 + 48 = 48
-1x = 48

Divide each side by '-1'.
x = -48

Simplifying
x = -48
Subproblem 2
Set the factor '(50 + -1x)' equal to zero and attempt to solve:

Simplifying
50 + -1x = 0

Solving
50 + -1x = 0

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

Add '-50' to each side of the equation.
50 + -50 + -1x = 0 + -50

Combine like terms: 50 + -50 = 0
0 + -1x = 0 + -50
-1x = 0 + -50

Combine like terms: 0 + -50 = -50
-1x = -50

Divide each side by '-1'.
x = 50

Simplifying
x = 50
Solution
x = {-48, 50}