0=-12x^2-1560x-48000

Solution for 0=-12x^2-1560x-48000 equation:

Simplifying
0 = -12x2 + -1560x + -48000

Reorder the terms:
0 = -48000 + -1560x + -12x2

Solving
0 = -48000 + -1560x + -12x2

Solving for variable 'x'.

Combine like terms: 0 + 48000 = 48000
48000 + 1560x + 12x2 = -48000 + -1560x + -12x2 + 48000 + 1560x + 12x2

Reorder the terms:
48000 + 1560x + 12x2 = -48000 + 48000 + -1560x + 1560x + -12x2 + 12x2

Combine like terms: -48000 + 48000 = 0
48000 + 1560x + 12x2 = 0 + -1560x + 1560x + -12x2 + 12x2
48000 + 1560x + 12x2 = -1560x + 1560x + -12x2 + 12x2

Combine like terms: -1560x + 1560x = 0
48000 + 1560x + 12x2 = 0 + -12x2 + 12x2
48000 + 1560x + 12x2 = -12x2 + 12x2

Combine like terms: -12x2 + 12x2 = 0
48000 + 1560x + 12x2 = 0

Factor out the Greatest Common Factor (GCF), '12'.
12(4000 + 130x + x2) = 0

Factor a trinomial.
12((80 + x)(50 + x)) = 0

Ignore the factor 12.
Subproblem 1
Set the factor '(80 + x)' equal to zero and attempt to solve:

Simplifying
80 + x = 0

Solving
80 + x = 0

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

Add '-80' to each side of the equation.
80 + -80 + x = 0 + -80

Combine like terms: 80 + -80 = 0
0 + x = 0 + -80
x = 0 + -80

Combine like terms: 0 + -80 = -80
x = -80

Simplifying
x = -80
Subproblem 2
Set the factor '(50 + x)' equal to zero and attempt to solve:

Simplifying
50 + x = 0

Solving
50 + x = 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 + x = 0 + -50

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

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

Simplifying
x = -50
Solution
x = {-80, -50}