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

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


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

Reorder the terms:
2[5a + (-6ab + -6a2) + 6a2] = 0
2[5a + (-6ab + -6a2) + 6a2] = 0

Combine like terms: -6a2 + 6a2 = 0
2[5a + -6ab + 0] = 0
2[5a + -6ab] = 0
[5a * 2 + -6ab * 2] = 0
[10a + -12ab] = 0

Solving
10a + -12ab = 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), '2a'.
2a(5 + -6b) = 0

Ignore the factor 2.

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 + -6b)' equal to zero and attempt to solve:

Simplifying
5 + -6b = 0

Solving
5 + -6b = 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 + -6b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6b = 0 + -5
-6b = 0 + -5

Combine like terms: 0 + -5 = -5
-6b = -5

Add '6b' to each side of the equation.
-6b + 6b = -5 + 6b

Combine like terms: -6b + 6b = 0
0 = -5 + 6b

Simplifying
0 = -5 + 6b

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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