3x(2x+4)=x

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Solution for 3x(2x+4)=x equation: 


Simplifying
3x(2x + 4) = x

Reorder the terms:
3x(4 + 2x) = x
(4 * 3x + 2x * 3x) = x
(12x + 6x2) = x

Solving
12x + 6x2 = x

Solving for variable 'x'.

Reorder the terms:
12x + -1x + 6x2 = x + -1x

Combine like terms: 12x + -1x = 11x
11x + 6x2 = x + -1x

Combine like terms: x + -1x = 0
11x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(11 + 6x) = 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 '(11 + 6x)' equal to zero and attempt to solve:

Simplifying
11 + 6x = 0

Solving
11 + 6x = 0

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

Add '-11' to each side of the equation.
11 + -11 + 6x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 6x = 0 + -11
6x = 0 + -11

Combine like terms: 0 + -11 = -11
6x = -11

Divide each side by '6'.
x = -1.833333333

Simplifying
x = -1.833333333
Solution
x = {0, -1.833333333}

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