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

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


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

Reorder the terms:
5[6a + (-4ab + -6a2) + 6a2] = 0
5[6a + (-4ab + -6a2) + 6a2] = 0

Combine like terms: -6a2 + 6a2 = 0
5[6a + -4ab + 0] = 0
5[6a + -4ab] = 0
[6a * 5 + -4ab * 5] = 0
[30a + -20ab] = 0

Solving
30a + -20ab = 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), '10a'.
10a(3 + -2b) = 0

Ignore the factor 10.

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 '(3 + -2b)' equal to zero and attempt to solve:

Simplifying
3 + -2b = 0

Solving
3 + -2b = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2b = 0 + -3
-2b = 0 + -3

Combine like terms: 0 + -3 = -3
-2b = -3

Add '2b' to each side of the equation.
-2b + 2b = -3 + 2b

Combine like terms: -2b + 2b = 0
0 = -3 + 2b

Simplifying
0 = -3 + 2b

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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