-3x^2+228x-3900=0

Solution for -3x^2+228x-3900=0 equation:

Simplifying
-3x2 + 228x + -3900 = 0

Reorder the terms:
-3900 + 228x + -3x2 = 0

Solving
-3900 + 228x + -3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-1300 + 76x + -1x2) = 0

Factor a trinomial.
3((-50 + x)(26 + -1x)) = 0

Ignore the factor 3.
Subproblem 1
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
Subproblem 2
Set the factor '(26 + -1x)' equal to zero and attempt to solve:

Simplifying
26 + -1x = 0

Solving
26 + -1x = 0

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

Add '-26' to each side of the equation.
26 + -26 + -1x = 0 + -26

Combine like terms: 26 + -26 = 0
0 + -1x = 0 + -26
-1x = 0 + -26

Combine like terms: 0 + -26 = -26
-1x = -26

Divide each side by '-1'.
x = 26

Simplifying
x = 26
Solution
x = {50, 26}