15x^5+30x^4+20x^4+40x^3+20x^3+40x^2=

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Solution for 15x^5+30x^4+20x^4+40x^3+20x^3+40x^2= equation: 


Simplifying
15x5 + 30x4 + 20x4 + 40x3 + 20x3 + 40x2 = 0

Reorder the terms:
40x2 + 40x3 + 20x3 + 30x4 + 20x4 + 15x5 = 0

Combine like terms: 40x3 + 20x3 = 60x3
40x2 + 60x3 + 30x4 + 20x4 + 15x5 = 0

Combine like terms: 30x4 + 20x4 = 50x4
40x2 + 60x3 + 50x4 + 15x5 = 0

Solving
40x2 + 60x3 + 50x4 + 15x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x2'.
5x2(8 + 12x + 10x2 + 3x3) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(8 + 12x + 10x2 + 3x3)' equal to zero and attempt to solve:

Simplifying
8 + 12x + 10x2 + 3x3 = 0

Solving
8 + 12x + 10x2 + 3x3 = 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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