2x^7+6x^4+7x^5+21x^4-4x^3-12x^2=0

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Solution for 2x^7+6x^4+7x^5+21x^4-4x^3-12x^2=0 equation: 


Simplifying
2x7 + 6x4 + 7x5 + 21x4 + -4x3 + -12x2 = 0

Reorder the terms:
-12x2 + -4x3 + 6x4 + 21x4 + 7x5 + 2x7 = 0

Combine like terms: 6x4 + 21x4 = 27x4
-12x2 + -4x3 + 27x4 + 7x5 + 2x7 = 0

Solving
-12x2 + -4x3 + 27x4 + 7x5 + 2x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-12 + -4x + 27x2 + 7x3 + 2x5) = 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 + 27x2 + 7x3 + 2x5)' equal to zero and attempt to solve:

Simplifying
-12 + -4x + 27x2 + 7x3 + 2x5 = 0

Solving
-12 + -4x + 27x2 + 7x3 + 2x5 = 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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