(x^3+8)(x^2+5x)=0

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Solution for (x^3+8)(x^2+5x)=0 equation: 


Simplifying
(x3 + 8)(x2 + 5x) = 0

Reorder the terms:
(8 + x3)(x2 + 5x) = 0

Reorder the terms:
(8 + x3)(5x + x2) = 0

Multiply (8 + x3) * (5x + x2)
(8(5x + x2) + x3(5x + x2)) = 0
((5x * 8 + x2 * 8) + x3(5x + x2)) = 0
((40x + 8x2) + x3(5x + x2)) = 0
(40x + 8x2 + (5x * x3 + x2 * x3)) = 0
(40x + 8x2 + (5x4 + x5)) = 0
(40x + 8x2 + 5x4 + x5) = 0

Solving
40x + 8x2 + 5x4 + x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(40 + 8x + 5x3 + x4) = 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 '(40 + 8x + 5x3 + x4)' equal to zero and attempt to solve:

Simplifying
40 + 8x + 5x3 + x4 = 0

Solving
40 + 8x + 5x3 + x4 = 0

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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