24ax^2+18ax+30a=6a

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Solution for 24ax^2+18ax+30a=6a equation: 


Simplifying
24ax2 + 18ax + 30a = 6a

Reorder the terms:
30a + 18ax + 24ax2 = 6a

Solving
30a + 18ax + 24ax2 = 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
30a + 18ax + -6a + 24ax2 = 6a + -6a

Reorder the terms:
30a + -6a + 18ax + 24ax2 = 6a + -6a

Combine like terms: 30a + -6a = 24a
24a + 18ax + 24ax2 = 6a + -6a

Combine like terms: 6a + -6a = 0
24a + 18ax + 24ax2 = 0

Factor out the Greatest Common Factor (GCF), '6a'.
6a(4 + 3x + 4x2) = 0

Ignore the factor 6.

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 '(4 + 3x + 4x2)' equal to zero and attempt to solve:

Simplifying
4 + 3x + 4x2 = 0

Solving
4 + 3x + 4x2 = 0

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

Add '-4' to each side of the equation.
4 + 3x + -4 + 4x2 = 0 + -4

Reorder the terms:
4 + -4 + 3x + 4x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3x + 4x2 = 0 + -4
3x + 4x2 = 0 + -4

Combine like terms: 0 + -4 = -4
3x + 4x2 = -4

Add '-3x' to each side of the equation.
3x + -3x + 4x2 = -4 + -3x

Combine like terms: 3x + -3x = 0
0 + 4x2 = -4 + -3x
4x2 = -4 + -3x

Add '-4x2' to each side of the equation.
4x2 + -4x2 = -4 + -3x + -4x2

Combine like terms: 4x2 + -4x2 = 0
0 = -4 + -3x + -4x2

Simplifying
0 = -4 + -3x + -4x2

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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