(3x)(7x+8)=0

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Solution for (3x)(7x+8)=0 equation: 


Simplifying
(3x)(7x + 8) = 0

Remove parenthesis around (3x)
3x(7x + 8) = 0

Reorder the terms:
3x(8 + 7x) = 0
(8 * 3x + 7x * 3x) = 0
(24x + 21x2) = 0

Solving
24x + 21x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(8 + 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 '(8 + 7x)' equal to zero and attempt to solve:

Simplifying
8 + 7x = 0

Solving
8 + 7x = 0

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

Add '-8' to each side of the equation.
8 + -8 + 7x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 7x = 0 + -8
7x = 0 + -8

Combine like terms: 0 + -8 = -8
7x = -8

Divide each side by '7'.
x = -1.142857143

Simplifying
x = -1.142857143
Solution
x = {0, -1.142857143}

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