x^4+12x^3+49x^2+78x=0

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Solution for x^4+12x^3+49x^2+78x=0 equation:


Simplifying
x4 + 12x3 + 49x2 + 78x = 0

Reorder the terms:
78x + 49x2 + 12x3 + x4 = 0

Solving
78x + 49x2 + 12x3 + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(78 + 49x + 12x2 + 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 '(78 + 49x + 12x2 + x3)' equal to zero and attempt to solve: Simplifying 78 + 49x + 12x2 + x3 = 0 Solving 78 + 49x + 12x2 + 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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