27ax^2+18ax+45a=9a

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Solution for 27ax^2+18ax+45a=9a equation: 


Simplifying
27ax2 + 18ax + 45a = 9a

Reorder the terms:
45a + 18ax + 27ax2 = 9a

Solving
45a + 18ax + 27ax2 = 9a

Solving for variable 'a'.

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

Add '-9a' to each side of the equation.
45a + 18ax + -9a + 27ax2 = 9a + -9a

Reorder the terms:
45a + -9a + 18ax + 27ax2 = 9a + -9a

Combine like terms: 45a + -9a = 36a
36a + 18ax + 27ax2 = 9a + -9a

Combine like terms: 9a + -9a = 0
36a + 18ax + 27ax2 = 0

Factor out the Greatest Common Factor (GCF), '9a'.
9a(4 + 2x + 3x2) = 0

Ignore the factor 9.

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 + 2x + 3x2)' equal to zero and attempt to solve:

Simplifying
4 + 2x + 3x2 = 0

Solving
4 + 2x + 3x2 = 0

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

Add '-4' to each side of the equation.
4 + 2x + -4 + 3x2 = 0 + -4

Reorder the terms:
4 + -4 + 2x + 3x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 2x + 3x2 = 0 + -4
2x + 3x2 = 0 + -4

Combine like terms: 0 + -4 = -4
2x + 3x2 = -4

Add '-2x' to each side of the equation.
2x + -2x + 3x2 = -4 + -2x

Combine like terms: 2x + -2x = 0
0 + 3x2 = -4 + -2x
3x2 = -4 + -2x

Add '-3x2' to each side of the equation.
3x2 + -3x2 = -4 + -2x + -3x2

Combine like terms: 3x2 + -3x2 = 0
0 = -4 + -2x + -3x2

Simplifying
0 = -4 + -2x + -3x2

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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