y^2+2y-2400=0

Solution for y^2+2y-2400=0 equation:

Simplifying
y2 + 2y + -2400 = 0

Reorder the terms:
-2400 + 2y + y2 = 0

Solving
-2400 + 2y + y2 = 0

Solving for variable 'y'.

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

Subproblem 1
Set the factor '(-50 + -1y)' equal to zero and attempt to solve:

Simplifying
-50 + -1y = 0

Solving
-50 + -1y = 0

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

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

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

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

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

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

Simplifying
48 + -1y = 0

Solving
48 + -1y = 0

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

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

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

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

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

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