3x^2+48x-2160=0

Solution for 3x^2+48x-2160=0 equation:

Simplifying
3x2 + 48x + -2160 = 0

Reorder the terms:
-2160 + 48x + 3x2 = 0

Solving
-2160 + 48x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-720 + 16x + x2) = 0

Factor a trinomial.
3((-36 + -1x)(20 + -1x)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-36 + -1x)' equal to zero and attempt to solve:

Simplifying
-36 + -1x = 0

Solving
-36 + -1x = 0

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

Add '36' to each side of the equation.
-36 + 36 + -1x = 0 + 36

Combine like terms: -36 + 36 = 0
0 + -1x = 0 + 36
-1x = 0 + 36

Combine like terms: 0 + 36 = 36
-1x = 36

Divide each side by '-1'.
x = -36

Simplifying
x = -36
Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve:

Simplifying
20 + -1x = 0

Solving
20 + -1x = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 0 + -20
-1x = 0 + -20

Combine like terms: 0 + -20 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20
Solution
x = {-36, 20}