3x^2-462x-21201=0

Solution for 3x^2-462x-21201=0 equation:

Simplifying
3x2 + -462x + -21201 = 0

Reorder the terms:
-21201 + -462x + 3x2 = 0

Solving
-21201 + -462x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-7067 + -154x + x2) = 0

Factor a trinomial.
3((-37 + -1x)(191 + -1x)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-37 + -1x)' equal to zero and attempt to solve:

Simplifying
-37 + -1x = 0

Solving
-37 + -1x = 0

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

Add '37' to each side of the equation.
-37 + 37 + -1x = 0 + 37

Combine like terms: -37 + 37 = 0
0 + -1x = 0 + 37
-1x = 0 + 37

Combine like terms: 0 + 37 = 37
-1x = 37

Divide each side by '-1'.
x = -37

Simplifying
x = -37
Subproblem 2
Set the factor '(191 + -1x)' equal to zero and attempt to solve:

Simplifying
191 + -1x = 0

Solving
191 + -1x = 0

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

Add '-191' to each side of the equation.
191 + -191 + -1x = 0 + -191

Combine like terms: 191 + -191 = 0
0 + -1x = 0 + -191
-1x = 0 + -191

Combine like terms: 0 + -191 = -191
-1x = -191

Divide each side by '-1'.
x = 191

Simplifying
x = 191
Solution
x = {-37, 191}