40ax^2+24ax+32a=8a

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Solution for 40ax^2+24ax+32a=8a equation: 


Simplifying
40ax2 + 24ax + 32a = 8a

Reorder the terms:
32a + 24ax + 40ax2 = 8a

Solving
32a + 24ax + 40ax2 = 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
32a + 24ax + -8a + 40ax2 = 8a + -8a

Reorder the terms:
32a + -8a + 24ax + 40ax2 = 8a + -8a

Combine like terms: 32a + -8a = 24a
24a + 24ax + 40ax2 = 8a + -8a

Combine like terms: 8a + -8a = 0
24a + 24ax + 40ax2 = 0

Factor out the Greatest Common Factor (GCF), '8a'.
8a(3 + 3x + 5x2) = 0

Ignore the factor 8.

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

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0

Subproblem 2
Set the factor '(3 + 3x + 5x2)' equal to zero and attempt to solve:

Simplifying
3 + 3x + 5x2 = 0

Solving
3 + 3x + 5x2 = 0

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

Add '-3' to each side of the equation.
3 + 3x + -3 + 5x2 = 0 + -3

Reorder the terms:
3 + -3 + 3x + 5x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 3x + 5x2 = 0 + -3
3x + 5x2 = 0 + -3

Combine like terms: 0 + -3 = -3
3x + 5x2 = -3

Add '-3x' to each side of the equation.
3x + -3x + 5x2 = -3 + -3x

Combine like terms: 3x + -3x = 0
0 + 5x2 = -3 + -3x
5x2 = -3 + -3x

Add '-5x2' to each side of the equation.
5x2 + -5x2 = -3 + -3x + -5x2

Combine like terms: 5x2 + -5x2 = 0
0 = -3 + -3x + -5x2

Simplifying
0 = -3 + -3x + -5x2

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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