27a^2x^2+45a^2x+36a^2=0

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Solution for 27a^2x^2+45a^2x+36a^2=0 equation: 


Simplifying
27a2x2 + 45a2x + 36a2 = 0

Reorder the terms:
36a2 + 45a2x + 27a2x2 = 0

Solving
36a2 + 45a2x + 27a2x2 = 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), '9a2'.
9a2(4 + 5x + 3x2) = 0

Ignore the factor 9.

Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve:

Simplifying
a2 = 0

Solving
a2 = 0

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

Simplifying
a2 = 0

Take the square root of each side:
a = {0}

Subproblem 2
Set the factor '(4 + 5x + 3x2)' equal to zero and attempt to solve:

Simplifying
4 + 5x + 3x2 = 0

Solving
4 + 5x + 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 + 5x + -4 + 3x2 = 0 + -4

Reorder the terms:
4 + -4 + 5x + 3x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5x + 3x2 = 0 + -4
5x + 3x2 = 0 + -4

Combine like terms: 0 + -4 = -4
5x + 3x2 = -4

Add '-5x' to each side of the equation.
5x + -5x + 3x2 = -4 + -5x

Combine like terms: 5x + -5x = 0
0 + 3x2 = -4 + -5x
3x2 = -4 + -5x

Add '-3x2' to each side of the equation.
3x2 + -3x2 = -4 + -5x + -3x2

Combine like terms: 3x2 + -3x2 = 0
0 = -4 + -5x + -3x2

Simplifying
0 = -4 + -5x + -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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