40ax^2+4ax-24a=0

Solution for 40ax^2+4ax-24a=0 equation:

Simplifying
40ax2 + 4ax + -24a = 0

Reorder the terms:
-24a + 4ax + 40ax2 = 0

Solving
-24a + 4ax + 40ax2 = 0

Solving for variable 'a'.

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

Factor out the Greatest Common Factor (GCF), '4a'.
4a(-6 + x + 10x2) = 0

Ignore the factor 4.
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 '(-6 + x + 10x2)' equal to zero and attempt to solve:

Simplifying
-6 + x + 10x2 = 0

Solving
-6 + x + 10x2 = 0

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

Add '6' to each side of the equation.
-6 + x + 6 + 10x2 = 0 + 6

Reorder the terms:
-6 + 6 + x + 10x2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + x + 10x2 = 0 + 6
x + 10x2 = 0 + 6

Combine like terms: 0 + 6 = 6
x + 10x2 = 6

Add '-1x' to each side of the equation.
x + -1x + 10x2 = 6 + -1x

Combine like terms: x + -1x = 0
0 + 10x2 = 6 + -1x
10x2 = 6 + -1x

Add '-10x2' to each side of the equation.
10x2 + -10x2 = 6 + -1x + -10x2

Combine like terms: 10x2 + -10x2 = 0
0 = 6 + -1x + -10x2

Simplifying
0 = 6 + -1x + -10x2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}