5x^6(3x+8)=

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Solution for 5x^6(3x+8)= equation: 


Simplifying
5x6(3x + 8) = 0

Reorder the terms:
5x6(8 + 3x) = 0
(8 * 5x6 + 3x * 5x6) = 0
(40x6 + 15x7) = 0

Solving
40x6 + 15x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x6'.
5x6(8 + 3x) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'x6' equal to zero and attempt to solve:

Simplifying
x6 = 0

Solving
x6 = 0

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

Simplifying
x6 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(8 + 3x)' equal to zero and attempt to solve:

Simplifying
8 + 3x = 0

Solving
8 + 3x = 0

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

Add '-8' to each side of the equation.
8 + -8 + 3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3x = 0 + -8
3x = 0 + -8

Combine like terms: 0 + -8 = -8
3x = -8

Divide each side by '3'.
x = -2.666666667

Simplifying
x = -2.666666667
Solution
x = {-2.666666667}

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