x^4+6x^3+7x^2-6x=0

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Solution for x^4+6x^3+7x^2-6x=0 equation:


Simplifying
x4 + 6x3 + 7x2 + -6x = 0

Reorder the terms:
-6x + 7x2 + 6x3 + x4 = 0

Solving
-6x + 7x2 + 6x3 + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-6 + 7x + 6x2 + x3) = 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 '(-6 + 7x + 6x2 + x3)' equal to zero and attempt to solve: Simplifying -6 + 7x + 6x2 + x3 = 0 Solving -6 + 7x + 6x2 + x3 = 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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