7x^6+52x^4+21x^2=0

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Solution for 7x^6+52x^4+21x^2=0 equation: 


Simplifying
7x6 + 52x4 + 21x2 = 0

Reorder the terms:
21x2 + 52x4 + 7x6 = 0

Solving
21x2 + 52x4 + 7x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(21 + 52x2 + 7x4) = 0

Factor a trinomial.
x2((7 + x2)(3 + 7x2)) = 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 '(7 + x2)' equal to zero and attempt to solve:

Simplifying
7 + x2 = 0

Solving
7 + x2 = 0

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + x2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x2 = 0 + -7
x2 = 0 + -7

Combine like terms: 0 + -7 = -7
x2 = -7

Simplifying
x2 = -7

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(3 + 7x2)' equal to zero and attempt to solve:

Simplifying
3 + 7x2 = 0

Solving
3 + 7x2 = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + 7x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 7x2 = 0 + -3
7x2 = 0 + -3

Combine like terms: 0 + -3 = -3
7x2 = -3

Divide each side by '7'.
x2 = -0.4285714286

Simplifying
x2 = -0.4285714286

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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