3x^2+21x-8550=0

Solution for 3x^2+21x-8550=0 equation:

Simplifying
3x2 + 21x + -8550 = 0

Reorder the terms:
-8550 + 21x + 3x2 = 0

Solving
-8550 + 21x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-2850 + 7x + x2) = 0

Factor a trinomial.
3((-57 + -1x)(50 + -1x)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-57 + -1x)' equal to zero and attempt to solve:

Simplifying
-57 + -1x = 0

Solving
-57 + -1x = 0

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

Add '57' to each side of the equation.
-57 + 57 + -1x = 0 + 57

Combine like terms: -57 + 57 = 0
0 + -1x = 0 + 57
-1x = 0 + 57

Combine like terms: 0 + 57 = 57
-1x = 57

Divide each side by '-1'.
x = -57

Simplifying
x = -57
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 = {-57, 50}