920x-6000=20x^2-200x

Solution for 920x-6000=20x^2-200x equation:

Simplifying
920x + -6000 = 20x2 + -200x

Reorder the terms:
-6000 + 920x = 20x2 + -200x

Reorder the terms:
-6000 + 920x = -200x + 20x2

Solving
-6000 + 920x = -200x + 20x2

Solving for variable 'x'.

Combine like terms: 920x + 200x = 1120x
-6000 + 1120x + -20x2 = -200x + 20x2 + 200x + -20x2

Reorder the terms:
-6000 + 1120x + -20x2 = -200x + 200x + 20x2 + -20x2

Combine like terms: -200x + 200x = 0
-6000 + 1120x + -20x2 = 0 + 20x2 + -20x2
-6000 + 1120x + -20x2 = 20x2 + -20x2

Combine like terms: 20x2 + -20x2 = 0
-6000 + 1120x + -20x2 = 0

Factor out the Greatest Common Factor (GCF), '20'.
20(-300 + 56x + -1x2) = 0

Factor a trinomial.
20((-50 + x)(6 + -1x)) = 0

Ignore the factor 20.
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 '(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 = {50, 6}