x^6+7x^3-3x^4-21x^2=0

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Solution for x^6+7x^3-3x^4-21x^2=0 equation:


Simplifying
x6 + 7x3 + -3x4 + -21x2 = 0

Reorder the terms:
-21x2 + 7x3 + -3x4 + x6 = 0

Solving
-21x2 + 7x3 + -3x4 + x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-21 + 7x + -3x2 + x4) = 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 '(-21 + 7x + -3x2 + x4)' equal to zero and attempt to solve: Simplifying -21 + 7x + -3x2 + x4 = 0 Solving -21 + 7x + -3x2 + x4 = 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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