3x(x+2)=8x

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Solution for 3x(x+2)=8x equation: 


Simplifying
3x(x + 2) = 8x

Reorder the terms:
3x(2 + x) = 8x
(2 * 3x + x * 3x) = 8x
(6x + 3x2) = 8x

Solving
6x + 3x2 = 8x

Solving for variable 'x'.

Reorder the terms:
6x + -8x + 3x2 = 8x + -8x

Combine like terms: 6x + -8x = -2x
-2x + 3x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
-2x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-2 + 3x) = 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 '(-2 + 3x)' equal to zero and attempt to solve:

Simplifying
-2 + 3x = 0

Solving
-2 + 3x = 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 + 3x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 3x = 0 + 2
3x = 0 + 2

Combine like terms: 0 + 2 = 2
3x = 2

Divide each side by '3'.
x = 0.6666666667

Simplifying
x = 0.6666666667
Solution
x = {0, 0.6666666667}

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