4ax-5a^2x-8ax^2+3ax+7a^2x+6ax^2=

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Solution for 4ax-5a^2x-8ax^2+3ax+7a^2x+6ax^2= equation: 


Simplifying
4ax + -5a2x + -8ax2 + 3ax + 7a2x + 6ax2 = 0

Reorder the terms:
4ax + 3ax + -8ax2 + 6ax2 + -5a2x + 7a2x = 0

Combine like terms: 4ax + 3ax = 7ax
7ax + -8ax2 + 6ax2 + -5a2x + 7a2x = 0

Combine like terms: -8ax2 + 6ax2 = -2ax2
7ax + -2ax2 + -5a2x + 7a2x = 0

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

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

Solving for variable 'a'.

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


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

Simplifying
ax = 0

Solving
ax = 0

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

Simplifying
ax = 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 '(7 + -2x + 2a)' equal to zero and attempt to solve:

Simplifying
7 + -2x + 2a = 0

Reorder the terms:
7 + 2a + -2x = 0

Solving
7 + 2a + -2x = 0

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

Add '-7' to each side of the equation.
7 + 2a + -7 + -2x = 0 + -7

Reorder the terms:
7 + -7 + 2a + -2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2a + -2x = 0 + -7
2a + -2x = 0 + -7

Combine like terms: 0 + -7 = -7
2a + -2x = -7

Add '2x' to each side of the equation.
2a + -2x + 2x = -7 + 2x

Combine like terms: -2x + 2x = 0
2a + 0 = -7 + 2x
2a = -7 + 2x

Divide each side by '2'.
a = -3.5 + x

Simplifying
a = -3.5 + x
Solution
a = {-3.5 + x}

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