=(3x+1)A^2

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Solution for =(3x+1)A^2 equation: 


Simplifying
0 = (3x + 1) * A2

Reorder the terms:
0 = (1 + 3x) * A2

Reorder the terms for easier multiplication:
0 = A2(1 + 3x)
0 = (1 * A2 + 3x * A2)
0 = (1A2 + 3xA2)

Solving
0 = 1A2 + 3xA2

Solving for variable 'A'.

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

Add '-1A2' to each side of the equation.
0 + -1A2 = 1A2 + -1A2 + 3xA2
Remove the zero:
-1A2 = 1A2 + -1A2 + 3xA2

Combine like terms: 1A2 + -1A2 = 0
-1A2 = 0 + 3xA2
-1A2 = 3xA2

Add '-3xA2' to each side of the equation.
-1A2 + -3xA2 = 3xA2 + -3xA2

Combine like terms: 3xA2 + -3xA2 = 0
-1A2 + -3xA2 = 0

Factor out the Greatest Common Factor (GCF), '-1A2'.
-1A2(1 + 3x) = 0

Ignore the factor -1.

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 '(1 + 3x)' equal to zero and attempt to solve:

Simplifying
1 + 3x = 0

Solving
1 + 3x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 3x = 0 + -1

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

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

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

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

Simplifying
0 = -1 + -3x

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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