3x^5(x+5)-15x(x+5)=

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Solution for 3x^5(x+5)-15x(x+5)= equation: 


Simplifying
3x5(x + 5) + -15x(x + 5) = 0

Reorder the terms:
3x5(5 + x) + -15x(x + 5) = 0
(5 * 3x5 + x * 3x5) + -15x(x + 5) = 0
(15x5 + 3x6) + -15x(x + 5) = 0

Reorder the terms:
15x5 + 3x6 + -15x(5 + x) = 0
15x5 + 3x6 + (5 * -15x + x * -15x) = 0
15x5 + 3x6 + (-75x + -15x2) = 0

Reorder the terms:
-75x + -15x2 + 15x5 + 3x6 = 0

Solving
-75x + -15x2 + 15x5 + 3x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-25 + -5x + 5x4 + x5) = 0

Ignore the factor 3.

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 '(-25 + -5x + 5x4 + x5)' equal to zero and attempt to solve:

Simplifying
-25 + -5x + 5x4 + x5 = 0

Solving
-25 + -5x + 5x4 + x5 = 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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