55a^6=88a^2

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Solution for 55a^6=88a^2 equation: 


Simplifying
55a6 = 88a2

Solving
55a6 = 88a2

Solving for variable 'a'.

Reorder the terms:
-88a2 + 55a6 = 88a2 + -88a2

Combine like terms: 88a2 + -88a2 = 0
-88a2 + 55a6 = 0

Factor out the Greatest Common Factor (GCF), '11a2'.
11a2(-8 + 5a4) = 0

Ignore the factor 11.

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 + 5a4)' equal to zero and attempt to solve:

Simplifying
-8 + 5a4 = 0

Solving
-8 + 5a4 = 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 + 5a4 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 5a4 = 0 + 8
5a4 = 0 + 8

Combine like terms: 0 + 8 = 8
5a4 = 8

Divide each side by '5'.
a4 = 1.6

Simplifying
a4 = 1.6

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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