(-4x)(7x+1)=0

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Solution for (-4x)(7x+1)=0 equation: 


Simplifying
(-4x)(7x + 1) = 0

Remove parenthesis around (-4x)
-4x(7x + 1) = 0

Reorder the terms:
-4x(1 + 7x) = 0
(1 * -4x + 7x * -4x) = 0
(-4x + -28x2) = 0

Solving
-4x + -28x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-4x'.
-4x(1 + 7x) = 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 '(1 + 7x)' equal to zero and attempt to solve:

Simplifying
1 + 7x = 0

Solving
1 + 7x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 7x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 7x = 0 + -1
7x = 0 + -1

Combine like terms: 0 + -1 = -1
7x = -1

Divide each side by '7'.
x = -0.1428571429

Simplifying
x = -0.1428571429
Solution
x = {0, -0.1428571429}

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