4a^5=10a^2

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Solution for 4a^5=10a^2 equation: 


Simplifying
4a5 = 10a2

Solving
4a5 = 10a2

Solving for variable 'a'.

Reorder the terms:
-10a2 + 4a5 = 10a2 + -10a2

Combine like terms: 10a2 + -10a2 = 0
-10a2 + 4a5 = 0

Factor out the Greatest Common Factor (GCF), '2a2'.
2a2(-5 + 2a3) = 0

Ignore the factor 2.

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 '(-5 + 2a3)' equal to zero and attempt to solve:

Simplifying
-5 + 2a3 = 0

Solving
-5 + 2a3 = 0

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

Add '5' to each side of the equation.
-5 + 5 + 2a3 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2a3 = 0 + 5
2a3 = 0 + 5

Combine like terms: 0 + 5 = 5
2a3 = 5

Divide each side by '2'.
a3 = 2.5

Simplifying
a3 = 2.5

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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