9x(3x+2)=4x

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Solution for 9x(3x+2)=4x equation: 


Simplifying
9x(3x + 2) = 4x

Reorder the terms:
9x(2 + 3x) = 4x
(2 * 9x + 3x * 9x) = 4x
(18x + 27x2) = 4x

Solving
18x + 27x2 = 4x

Solving for variable 'x'.

Reorder the terms:
18x + -4x + 27x2 = 4x + -4x

Combine like terms: 18x + -4x = 14x
14x + 27x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
14x + 27x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(14 + 27x) = 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 '(14 + 27x)' equal to zero and attempt to solve:

Simplifying
14 + 27x = 0

Solving
14 + 27x = 0

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

Add '-14' to each side of the equation.
14 + -14 + 27x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 27x = 0 + -14
27x = 0 + -14

Combine like terms: 0 + -14 = -14
27x = -14

Divide each side by '27'.
x = -0.5185185185

Simplifying
x = -0.5185185185
Solution
x = {0, -0.5185185185}

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