35x^6+120x^5+70x^4+32x^3+9x^2=0

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Solution for 35x^6+120x^5+70x^4+32x^3+9x^2=0 equation:


Simplifying
35x6 + 120x5 + 70x4 + 32x3 + 9x2 = 0

Reorder the terms:
9x2 + 32x3 + 70x4 + 120x5 + 35x6 = 0

Solving
9x2 + 32x3 + 70x4 + 120x5 + 35x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(9 + 32x + 70x2 + 120x3 + 35x4) = 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 '(9 + 32x + 70x2 + 120x3 + 35x4)' equal to zero and attempt to solve: Simplifying 9 + 32x + 70x2 + 120x3 + 35x4 = 0 Solving 9 + 32x + 70x2 + 120x3 + 35x4 = 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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