21x^6+42x^2=7x^2

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Solution for 21x^6+42x^2=7x^2 equation: 


Simplifying
21x6 + 42x2 = 7x2

Reorder the terms:
42x2 + 21x6 = 7x2

Solving
42x2 + 21x6 = 7x2

Solving for variable 'x'.

Reorder the terms:
42x2 + -7x2 + 21x6 = 7x2 + -7x2

Combine like terms: 42x2 + -7x2 = 35x2
35x2 + 21x6 = 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
35x2 + 21x6 = 0

Factor out the Greatest Common Factor (GCF), '7x2'.
7x2(5 + 3x4) = 0

Ignore the factor 7.

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 '(5 + 3x4)' equal to zero and attempt to solve:

Simplifying
5 + 3x4 = 0

Solving
5 + 3x4 = 0

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

Add '-5' to each side of the equation.
5 + -5 + 3x4 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3x4 = 0 + -5
3x4 = 0 + -5

Combine like terms: 0 + -5 = -5
3x4 = -5

Divide each side by '3'.
x4 = -1.666666667

Simplifying
x4 = -1.666666667

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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