3x(9x+4)=6x

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Solution for 3x(9x+4)=6x equation: 


Simplifying
3x(9x + 4) = 6x

Reorder the terms:
3x(4 + 9x) = 6x
(4 * 3x + 9x * 3x) = 6x
(12x + 27x2) = 6x

Solving
12x + 27x2 = 6x

Solving for variable 'x'.

Reorder the terms:
12x + -6x + 27x2 = 6x + -6x

Combine like terms: 12x + -6x = 6x
6x + 27x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
6x + 27x2 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(2 + 9x) = 0

Ignore the factor 3.

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 '(2 + 9x)' equal to zero and attempt to solve:

Simplifying
2 + 9x = 0

Solving
2 + 9x = 0

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

Add '-2' to each side of the equation.
2 + -2 + 9x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 9x = 0 + -2
9x = 0 + -2

Combine like terms: 0 + -2 = -2
9x = -2

Divide each side by '9'.
x = -0.2222222222

Simplifying
x = -0.2222222222
Solution
x = {0, -0.2222222222}

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