(3x)(7x+4)=0

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Solution for (3x)(7x+4)=0 equation: 


Simplifying
(3x)(7x + 4) = 0

Remove parenthesis around (3x)
3x(7x + 4) = 0

Reorder the terms:
3x(4 + 7x) = 0
(4 * 3x + 7x * 3x) = 0
(12x + 21x2) = 0

Solving
12x + 21x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(4 + 7x) = 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 '(4 + 7x)' equal to zero and attempt to solve:

Simplifying
4 + 7x = 0

Solving
4 + 7x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 7x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 7x = 0 + -4
7x = 0 + -4

Combine like terms: 0 + -4 = -4
7x = -4

Divide each side by '7'.
x = -0.5714285714

Simplifying
x = -0.5714285714
Solution
x = {0, -0.5714285714}

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