3x-7(3x(7-2x))=

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


Simplifying
3x + -7(3x(7 + -2x)) = 0
3x + -7((7 * 3x + -2x * 3x)) = 0
3x + -7((21x + -6x2)) = 0
3x + (21x * -7 + -6x2 * -7) = 0
3x + (-147x + 42x2) = 0

Combine like terms: 3x + -147x = -144x
-144x + 42x2 = 0

Solving
-144x + 42x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x'.
6x(-24 + 7x) = 0

Ignore the factor 6.

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 '(-24 + 7x)' equal to zero and attempt to solve:

Simplifying
-24 + 7x = 0

Solving
-24 + 7x = 0

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

Add '24' to each side of the equation.
-24 + 24 + 7x = 0 + 24

Combine like terms: -24 + 24 = 0
0 + 7x = 0 + 24
7x = 0 + 24

Combine like terms: 0 + 24 = 24
7x = 24

Divide each side by '7'.
x = 3.428571429

Simplifying
x = 3.428571429
Solution
x = {0, 3.428571429}

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