(4x)(6x+7)=0

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Solution for (4x)(6x+7)=0 equation: 


Simplifying
(4x)(6x + 7) = 0

Remove parenthesis around (4x)
4x(6x + 7) = 0

Reorder the terms:
4x(7 + 6x) = 0
(7 * 4x + 6x * 4x) = 0
(28x + 24x2) = 0

Solving
28x + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(7 + 6x) = 0

Ignore the factor 4.

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 '(7 + 6x)' equal to zero and attempt to solve:

Simplifying
7 + 6x = 0

Solving
7 + 6x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 6x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 6x = 0 + -7
6x = 0 + -7

Combine like terms: 0 + -7 = -7
6x = -7

Divide each side by '6'.
x = -1.166666667

Simplifying
x = -1.166666667
Solution
x = {0, -1.166666667}

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