6x-x^2=2x

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Solution for 6x-x^2=2x equation: 


Simplifying
6x + -1x2 = 2x

Solving
6x + -1x2 = 2x

Solving for variable 'x'.

Reorder the terms:
6x + -2x + -1x2 = 2x + -2x

Combine like terms: 6x + -2x = 4x
4x + -1x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
4x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(4 + -1x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {0, 4}

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