(5x^5+90x^2-135x)(x+5)=

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Solution for (5x^5+90x^2-135x)(x+5)= equation: 


Simplifying
(5x5 + 90x2 + -135x)(x + 5) = 0

Reorder the terms:
(-135x + 90x2 + 5x5)(x + 5) = 0

Reorder the terms:
(-135x + 90x2 + 5x5)(5 + x) = 0

Multiply (-135x + 90x2 + 5x5) * (5 + x)
(-135x * (5 + x) + 90x2 * (5 + x) + 5x5 * (5 + x)) = 0
((5 * -135x + x * -135x) + 90x2 * (5 + x) + 5x5 * (5 + x)) = 0
((-675x + -135x2) + 90x2 * (5 + x) + 5x5 * (5 + x)) = 0
(-675x + -135x2 + (5 * 90x2 + x * 90x2) + 5x5 * (5 + x)) = 0
(-675x + -135x2 + (450x2 + 90x3) + 5x5 * (5 + x)) = 0
(-675x + -135x2 + 450x2 + 90x3 + (5 * 5x5 + x * 5x5)) = 0
(-675x + -135x2 + 450x2 + 90x3 + (25x5 + 5x6)) = 0

Combine like terms: -135x2 + 450x2 = 315x2
(-675x + 315x2 + 90x3 + 25x5 + 5x6) = 0

Solving
-675x + 315x2 + 90x3 + 25x5 + 5x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-135 + 63x + 18x2 + 5x4 + x5) = 0

Ignore the factor 5.

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 '(-135 + 63x + 18x2 + 5x4 + x5)' equal to zero and attempt to solve:

Simplifying
-135 + 63x + 18x2 + 5x4 + x5 = 0

Solving
-135 + 63x + 18x2 + 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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