1a^4-8a^2=

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Solution for 1a^4-8a^2= equation: 


Simplifying
1a4 + -8a2 = 0

Reorder the terms:
-8a2 + 1a4 = 0

Solving
-8a2 + 1a4 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a2'.
a2(-8 + a2) = 0


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 '(-8 + a2)' equal to zero and attempt to solve:

Simplifying
-8 + a2 = 0

Solving
-8 + a2 = 0

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

Add '8' to each side of the equation.
-8 + 8 + a2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + a2 = 0 + 8
a2 = 0 + 8

Combine like terms: 0 + 8 = 8
a2 = 8

Simplifying
a2 = 8

Take the square root of each side:
a = {-2.828427125, 2.828427125}
Solution
a = {0, -2.828427125, 2.828427125}

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