(a^4)(5a)(a^2)+(-4a^2)(2a^2)(a)=

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Solution for (a^4)(5a)(a^2)+(-4a^2)(2a^2)(a)= equation: 


Simplifying
(a4)(5a)(a2) + (-4a2)(2a2)(a) = 0

Remove parenthesis around (5a)
a4 * 5a(a2) + (-4a2)(2a2)(a) = 0

Reorder the terms for easier multiplication:
5a4 * a * a2 + (-4a2)(2a2)(a) = 0

Multiply a4 * a
5a5 * a2 + (-4a2)(2a2)(a) = 0

Multiply a5 * a2
5a7 + (-4a2)(2a2)(a) = 0

Remove parenthesis around (-4a2)
5a7 + -4a2(2a2)(a) = 0

Remove parenthesis around (2a2)
5a7 + -4a2 * 2a2(a) = 0

Reorder the terms for easier multiplication:
5a7 + -4 * 2a2 * a2 * a = 0

Multiply -4 * 2
5a7 + -8a2 * a2 * a = 0

Multiply a2 * a2
5a7 + -8a4 * a = 0

Multiply a4 * a
5a7 + -8a5 = 0

Reorder the terms:
-8a5 + 5a7 = 0

Solving
-8a5 + 5a7 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a5'.
a5(-8 + 5a2) = 0


Subproblem 1
Set the factor 'a5' equal to zero and attempt to solve:

Simplifying
a5 = 0

Solving
a5 = 0

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

Simplifying
a5 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-8 + 5a2)' equal to zero and attempt to solve:

Simplifying
-8 + 5a2 = 0

Solving
-8 + 5a2 = 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 + 5a2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 5a2 = 0 + 8
5a2 = 0 + 8

Combine like terms: 0 + 8 = 8
5a2 = 8

Divide each side by '5'.
a2 = 1.6

Simplifying
a2 = 1.6

Take the square root of each side:
a = {-1.264911064, 1.264911064}
Solution
a = {-1.264911064, 1.264911064}

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