6x(x^2+48)=0

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Solution for 6x(x^2+48)=0 equation: 


Simplifying
6x(x2 + 48) = 0

Reorder the terms:
6x(48 + x2) = 0
(48 * 6x + x2 * 6x) = 0
(288x + 6x3) = 0

Solving
288x + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x'.
6x(48 + x2) = 0

Ignore the factor 6.

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 '(48 + x2)' equal to zero and attempt to solve:

Simplifying
48 + x2 = 0

Solving
48 + x2 = 0

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

Add '-48' to each side of the equation.
48 + -48 + x2 = 0 + -48

Combine like terms: 48 + -48 = 0
0 + x2 = 0 + -48
x2 = 0 + -48

Combine like terms: 0 + -48 = -48
x2 = -48

Simplifying
x2 = -48

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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