(5a^2x+3ax^2-5x)+(2a^2x-5ax^2+7x)=

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Solution for (5a^2x+3ax^2-5x)+(2a^2x-5ax^2+7x)= equation: 


Simplifying
(5a2x + 3ax2 + -5x) + (2a2x + -5ax2 + 7x) = 0

Reorder the terms:
(3ax2 + 5a2x + -5x) + (2a2x + -5ax2 + 7x) = 0

Remove parenthesis around (3ax2 + 5a2x + -5x)
3ax2 + 5a2x + -5x + (2a2x + -5ax2 + 7x) = 0

Reorder the terms:
3ax2 + 5a2x + -5x + (-5ax2 + 2a2x + 7x) = 0

Remove parenthesis around (-5ax2 + 2a2x + 7x)
3ax2 + 5a2x + -5x + -5ax2 + 2a2x + 7x = 0

Reorder the terms:
3ax2 + -5ax2 + 5a2x + 2a2x + -5x + 7x = 0

Combine like terms: 3ax2 + -5ax2 = -2ax2
-2ax2 + 5a2x + 2a2x + -5x + 7x = 0

Combine like terms: 5a2x + 2a2x = 7a2x
-2ax2 + 7a2x + -5x + 7x = 0

Combine like terms: -5x + 7x = 2x
-2ax2 + 7a2x + 2x = 0

Solving
-2ax2 + 7a2x + 2x = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-2ax + 7a2 + 2) = 0


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

Simplifying
x = 0

Solving
x = 0

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

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

Simplifying
0 = -1x

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 '(-2ax + 7a2 + 2)' equal to zero and attempt to solve:

Simplifying
-2ax + 7a2 + 2 = 0

Reorder the terms:
2 + -2ax + 7a2 = 0

Solving
2 + -2ax + 7a2 = 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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