(19a^5+8a^2)-(-10a^5+4a^2)=

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Solution for (19a^5+8a^2)-(-10a^5+4a^2)= equation: 


Simplifying
(19a5 + 8a2) + -1(-10a5 + 4a2) = 0

Reorder the terms:
(8a2 + 19a5) + -1(-10a5 + 4a2) = 0

Remove parenthesis around (8a2 + 19a5)
8a2 + 19a5 + -1(-10a5 + 4a2) = 0

Reorder the terms:
8a2 + 19a5 + -1(4a2 + -10a5) = 0
8a2 + 19a5 + (4a2 * -1 + -10a5 * -1) = 0
8a2 + 19a5 + (-4a2 + 10a5) = 0

Reorder the terms:
8a2 + -4a2 + 19a5 + 10a5 = 0

Combine like terms: 8a2 + -4a2 = 4a2
4a2 + 19a5 + 10a5 = 0

Combine like terms: 19a5 + 10a5 = 29a5
4a2 + 29a5 = 0

Solving
4a2 + 29a5 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a2'.
a2(4 + 29a3) = 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 '(4 + 29a3)' equal to zero and attempt to solve:

Simplifying
4 + 29a3 = 0

Solving
4 + 29a3 = 0

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

Add '-4' to each side of the equation.
4 + -4 + 29a3 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 29a3 = 0 + -4
29a3 = 0 + -4

Combine like terms: 0 + -4 = -4
29a3 = -4

Divide each side by '29'.
a3 = -0.1379310345

Simplifying
a3 = -0.1379310345

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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