x^5+3x^4-4x^3-12x^2=0

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Solution for x^5+3x^4-4x^3-12x^2=0 equation:


Simplifying
x5 + 3x4 + -4x3 + -12x2 = 0

Reorder the terms:
-12x2 + -4x3 + 3x4 + x5 = 0

Solving
-12x2 + -4x3 + 3x4 + x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-12 + -4x + 3x2 + x3) = 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 '(-12 + -4x + 3x2 + x3)' equal to zero and attempt to solve: Simplifying -12 + -4x + 3x2 + x3 = 0 Solving -12 + -4x + 3x2 + 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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