x^2+33x-6048=0

Solution for x^2+33x-6048=0 equation:

Simplifying
x2 + 33x + -6048 = 0

Reorder the terms:
-6048 + 33x + x2 = 0

Solving
-6048 + 33x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-96 + -1x)(63 + -1x) = 0

Subproblem 1
Set the factor '(-96 + -1x)' equal to zero and attempt to solve:

Simplifying
-96 + -1x = 0

Solving
-96 + -1x = 0

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

Add '96' to each side of the equation.
-96 + 96 + -1x = 0 + 96

Combine like terms: -96 + 96 = 0
0 + -1x = 0 + 96
-1x = 0 + 96

Combine like terms: 0 + 96 = 96
-1x = 96

Divide each side by '-1'.
x = -96

Simplifying
x = -96
Subproblem 2
Set the factor '(63 + -1x)' equal to zero and attempt to solve:

Simplifying
63 + -1x = 0

Solving
63 + -1x = 0

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

Add '-63' to each side of the equation.
63 + -63 + -1x = 0 + -63

Combine like terms: 63 + -63 = 0
0 + -1x = 0 + -63
-1x = 0 + -63

Combine like terms: 0 + -63 = -63
-1x = -63

Divide each side by '-1'.
x = 63

Simplifying
x = 63
Solution
x = {-96, 63}