5[5a-4a(2a+2b)+8a^2]=

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Solution for 5[5a-4a(2a+2b)+8a^2]= equation: 


Simplifying
5[5a + -4a(2a + 2b) + 8a2] = 0
5[5a + (2a * -4a + 2b * -4a) + 8a2] = 0

Reorder the terms:
5[5a + (-8ab + -8a2) + 8a2] = 0
5[5a + (-8ab + -8a2) + 8a2] = 0

Combine like terms: -8a2 + 8a2 = 0
5[5a + -8ab + 0] = 0
5[5a + -8ab] = 0
[5a * 5 + -8ab * 5] = 0
[25a + -40ab] = 0

Solving
25a + -40ab = 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), '5a'.
5a(5 + -8b) = 0

Ignore the factor 5.

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 '(5 + -8b)' equal to zero and attempt to solve:

Simplifying
5 + -8b = 0

Solving
5 + -8b = 0

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

Add '-5' to each side of the equation.
5 + -5 + -8b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -8b = 0 + -5
-8b = 0 + -5

Combine like terms: 0 + -5 = -5
-8b = -5

Add '8b' to each side of the equation.
-8b + 8b = -5 + 8b

Combine like terms: -8b + 8b = 0
0 = -5 + 8b

Simplifying
0 = -5 + 8b

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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