42a^6+7a^2=

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Solution for 42a^6+7a^2= equation: 


Simplifying
42a6 + 7a2 = 0

Reorder the terms:
7a2 + 42a6 = 0

Solving
7a2 + 42a6 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '7a2'.
7a2(1 + 6a4) = 0

Ignore the factor 7.

Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve:

Simplifying
a2 = 0

Solving
a2 = 0

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

Simplifying
a2 = 0

Take the square root of each side:
a = {0}

Subproblem 2
Set the factor '(1 + 6a4)' equal to zero and attempt to solve:

Simplifying
1 + 6a4 = 0

Solving
1 + 6a4 = 0

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

Add '-1' to each side of the equation.
1 + -1 + 6a4 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 6a4 = 0 + -1
6a4 = 0 + -1

Combine like terms: 0 + -1 = -1
6a4 = -1

Divide each side by '6'.
a4 = -0.1666666667

Simplifying
a4 = -0.1666666667

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}

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