3x^5+7x^4+15x^3+35x^2=x

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Solution for 3x^5+7x^4+15x^3+35x^2=x equation:


Simplifying
3x5 + 7x4 + 15x3 + 35x2 = x

Reorder the terms:
35x2 + 15x3 + 7x4 + 3x5 = x

Solving
35x2 + 15x3 + 7x4 + 3x5 = x

Solving for variable 'x'.

Reorder the terms:
-1x + 35x2 + 15x3 + 7x4 + 3x5 = x + -1x

Combine like terms: x + -1x = 0
-1x + 35x2 + 15x3 + 7x4 + 3x5 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1 + 35x + 15x2 + 7x3 + 3x4) = 0

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 '(-1 + 35x + 15x2 + 7x3 + 3x4)' equal to zero and attempt to solve: Simplifying -1 + 35x + 15x2 + 7x3 + 3x4 = 0 Solving -1 + 35x + 15x2 + 7x3 + 3x4 = 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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