2x^2a(8x^5a-4+5x^2a+1)=16x^31+10x^21

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Solution for 2x^2a(8x^5a-4+5x^2a+1)=16x^31+10x^21 equation: 


Simplifying
2x2a(8x5a + -4 + 5x2a + 1) = 16x31 + 10x21

Reorder the terms:
2ax2(-4 + 1 + 5ax2 + 8ax5) = 16x31 + 10x21

Combine like terms: -4 + 1 = -3
2ax2(-3 + 5ax2 + 8ax5) = 16x31 + 10x21
(-3 * 2ax2 + 5ax2 * 2ax2 + 8ax5 * 2ax2) = 16x31 + 10x21
(-6ax2 + 10a2x4 + 16a2x7) = 16x31 + 10x21

Reorder the terms:
-6ax2 + 10a2x4 + 16a2x7 = 10x21 + 16x31

Solving
-6ax2 + 10a2x4 + 16a2x7 = 10x21 + 16x31

Solving for variable 'a'.

Reorder the terms:
-6ax2 + 10a2x4 + 16a2x7 + -10x21 + -16x31 = 10x21 + -10x21 + 16x31 + -16x31

Combine like terms: 10x21 + -10x21 = 0
-6ax2 + 10a2x4 + 16a2x7 + -10x21 + -16x31 = 0 + 16x31 + -16x31
-6ax2 + 10a2x4 + 16a2x7 + -10x21 + -16x31 = 16x31 + -16x31

Combine like terms: 16x31 + -16x31 = 0
-6ax2 + 10a2x4 + 16a2x7 + -10x21 + -16x31 = 0

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(-3a + 5a2x2 + 8a2x5 + -5x19 + -8x29) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Add '-1x2' to each side of the equation.
x2 + -1x2 = 0 + -1x2
Remove the zero:
0 = -1x2

Simplifying
0 = -1x2

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 '(-3a + 5a2x2 + 8a2x5 + -5x19 + -8x29)' equal to zero and attempt to solve:

Simplifying
-3a + 5a2x2 + 8a2x5 + -5x19 + -8x29 = 0

Solving
-3a + 5a2x2 + 8a2x5 + -5x19 + -8x29 = 0

The solution to this equation could not be determined.

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

The solution to this equation could not be determined.

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