A^2(5a+2)(a+2)=0

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Solution for A^2(5a+2)(a+2)=0 equation: 


Simplifying
A2(5a + 2)(a + 2) = 0

Reorder the terms:
A2(2 + 5a)(a + 2) = 0

Reorder the terms:
A2(2 + 5a)(2 + a) = 0

Multiply (2 + 5a) * (2 + a)
A2(2(2 + a) + 5a * (2 + a)) = 0
A2((2 * 2 + a * 2) + 5a * (2 + a)) = 0
A2((4 + 2a) + 5a * (2 + a)) = 0
A2(4 + 2a + (2 * 5a + a * 5a)) = 0
A2(4 + 2a + (10a + 5a2)) = 0

Combine like terms: 2a + 10a = 12a
A2(4 + 12a + 5a2) = 0
(4 * A2 + 12a * A2 + 5a2 * A2) = 0
(4A2 + 12aA2 + 5a2A2) = 0

Solving
4A2 + 12aA2 + 5a2A2 = 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), 'A2'.
A2(4 + 12a + 5a2) = 0

Factor a trinomial.
A2((2 + a)(2 + 5a)) = 0


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 '(2 + a)' equal to zero and attempt to solve:

Simplifying
2 + a = 0

Solving
2 + a = 0

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

Add '-2' to each side of the equation.
2 + -2 + a = 0 + -2

Combine like terms: 2 + -2 = 0
0 + a = 0 + -2
a = 0 + -2

Combine like terms: 0 + -2 = -2
a = -2

Add '-1a' to each side of the equation.
a + -1a = -2 + -1a

Combine like terms: a + -1a = 0
0 = -2 + -1a

Simplifying
0 = -2 + -1a

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

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

Simplifying
2 + 5a = 0

Solving
2 + 5a = 0

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

Add '-2' to each side of the equation.
2 + -2 + 5a = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5a = 0 + -2
5a = 0 + -2

Combine like terms: 0 + -2 = -2
5a = -2

Add '-5a' to each side of the equation.
5a + -5a = -2 + -5a

Combine like terms: 5a + -5a = 0
0 = -2 + -5a

Simplifying
0 = -2 + -5a

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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