4[2a-2a(3a+5b)+6a^2]=

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Solution for 4[2a-2a(3a+5b)+6a^2]= equation: 


Simplifying
4[2a + -2a(3a + 5b) + 6a2] = 0
4[2a + (3a * -2a + 5b * -2a) + 6a2] = 0

Reorder the terms:
4[2a + (-10ab + -6a2) + 6a2] = 0
4[2a + (-10ab + -6a2) + 6a2] = 0

Combine like terms: -6a2 + 6a2 = 0
4[2a + -10ab + 0] = 0
4[2a + -10ab] = 0
[2a * 4 + -10ab * 4] = 0
[8a + -40ab] = 0

Solving
8a + -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), '8a'.
8a(1 + -5b) = 0

Ignore the factor 8.

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 '(1 + -5b)' equal to zero and attempt to solve:

Simplifying
1 + -5b = 0

Solving
1 + -5b = 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 + -5b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5b = 0 + -1
-5b = 0 + -1

Combine like terms: 0 + -1 = -1
-5b = -1

Add '5b' to each side of the equation.
-5b + 5b = -1 + 5b

Combine like terms: -5b + 5b = 0
0 = -1 + 5b

Simplifying
0 = -1 + 5b

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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