x(12x+5)=0

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Solution for x(12x+5)=0 equation: 


Simplifying
x(12x + 5) = 0

Reorder the terms:
x(5 + 12x) = 0
(5 * x + 12x * x) = 0
(5x + 12x2) = 0

Solving
5x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(5 + 12x) = 0


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 '(5 + 12x)' equal to zero and attempt to solve:

Simplifying
5 + 12x = 0

Solving
5 + 12x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 12x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 12x = 0 + -5
12x = 0 + -5

Combine like terms: 0 + -5 = -5
12x = -5

Divide each side by '12'.
x = -0.4166666667

Simplifying
x = -0.4166666667
Solution
x = {0, -0.4166666667}

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