2900=-3x^2+228x-1000

Solution for 2900=-3x^2+228x-1000 equation:

Simplifying
2900 = -3x2 + 228x + -1000

Reorder the terms:
2900 = -1000 + 228x + -3x2

Solving
2900 = -1000 + 228x + -3x2

Solving for variable 'x'.

Combine like terms: 2900 + 1000 = 3900
3900 + -228x + 3x2 = -1000 + 228x + -3x2 + 1000 + -228x + 3x2

Reorder the terms:
3900 + -228x + 3x2 = -1000 + 1000 + 228x + -228x + -3x2 + 3x2

Combine like terms: -1000 + 1000 = 0
3900 + -228x + 3x2 = 0 + 228x + -228x + -3x2 + 3x2
3900 + -228x + 3x2 = 228x + -228x + -3x2 + 3x2

Combine like terms: 228x + -228x = 0
3900 + -228x + 3x2 = 0 + -3x2 + 3x2
3900 + -228x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
3900 + -228x + 3x2 = 0

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

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

Ignore the factor 3.
Subproblem 1
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
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 = {26, 50}