3000=(1100-100x)x

Solution for 3000=(1100-100x)x equation:

Simplifying
3000 = (1100 + -100x) * x

Reorder the terms for easier multiplication:
3000 = x(1100 + -100x)
3000 = (1100 * x + -100x * x)
3000 = (1100x + -100x2)

Solving
3000 = 1100x + -100x2

Solving for variable 'x'.

Reorder the terms:
3000 + -1100x + 100x2 = 1100x + -1100x + -100x2 + 100x2

Combine like terms: 1100x + -1100x = 0
3000 + -1100x + 100x2 = 0 + -100x2 + 100x2
3000 + -1100x + 100x2 = -100x2 + 100x2

Combine like terms: -100x2 + 100x2 = 0
3000 + -1100x + 100x2 = 0

Factor out the Greatest Common Factor (GCF), '100'.
100(30 + -11x + x2) = 0

Factor a trinomial.
100((5 + -1x)(6 + -1x)) = 0

Ignore the factor 100.
Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {5, 6}