ax^2+3ax+4a=0

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Solution for ax^2+3ax+4a=0 equation: 


Simplifying
ax2 + 3ax + 4a = 0

Reorder the terms:
4a + 3ax + ax2 = 0

Solving
4a + 3ax + ax2 = 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), 'a'.
a(4 + 3x + x2) = 0


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 + x2)' equal to zero and attempt to solve:

Simplifying
4 + 3x + x2 = 0

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

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

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

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

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

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

Add '-1x2' to each side of the equation.
x2 + -1x2 = -4 + -3x + -1x2

Combine like terms: x2 + -1x2 = 0
0 = -4 + -3x + -1x2

Simplifying
0 = -4 + -3x + -1x2

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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