6*x^5+10*x^4=3*x^3+5*x^2

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Solution for 6*x^5+10*x^4=3*x^3+5*x^2 equation: 


Simplifying
6x5 + 10x4 = 3x3 + 5x2

Reorder the terms:
10x4 + 6x5 = 3x3 + 5x2

Reorder the terms:
10x4 + 6x5 = 5x2 + 3x3

Solving
10x4 + 6x5 = 5x2 + 3x3

Solving for variable 'x'.

Reorder the terms:
-5x2 + -3x3 + 10x4 + 6x5 = 5x2 + 3x3 + -5x2 + -3x3

Reorder the terms:
-5x2 + -3x3 + 10x4 + 6x5 = 5x2 + -5x2 + 3x3 + -3x3

Combine like terms: 5x2 + -5x2 = 0
-5x2 + -3x3 + 10x4 + 6x5 = 0 + 3x3 + -3x3
-5x2 + -3x3 + 10x4 + 6x5 = 3x3 + -3x3

Combine like terms: 3x3 + -3x3 = 0
-5x2 + -3x3 + 10x4 + 6x5 = 0

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-5 + -3x + 10x2 + 6x3) = 0


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 '(-5 + -3x + 10x2 + 6x3)' equal to zero and attempt to solve:

Simplifying
-5 + -3x + 10x2 + 6x3 = 0

Solving
-5 + -3x + 10x2 + 6x3 = 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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