2(3x-2)7x=

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Solution for 2(3x-2)7x= equation: 


Simplifying
2(3x + -2) * 7x = 0

Reorder the terms:
2(-2 + 3x) * 7x = 0

Reorder the terms for easier multiplication:
2 * 7x(-2 + 3x) = 0

Multiply 2 * 7
14x(-2 + 3x) = 0
(-2 * 14x + 3x * 14x) = 0
(-28x + 42x2) = 0

Solving
-28x + 42x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '14x'.
14x(-2 + 3x) = 0

Ignore the factor 14.

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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