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

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


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

Reorder the terms:
2[6a + (-15ab + -6a2) + 6a2] = 0
2[6a + (-15ab + -6a2) + 6a2] = 0

Combine like terms: -6a2 + 6a2 = 0
2[6a + -15ab + 0] = 0
2[6a + -15ab] = 0
[6a * 2 + -15ab * 2] = 0
[12a + -30ab] = 0

Solving
12a + -30ab = 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), '6a'.
6a(2 + -5b) = 0

Ignore the factor 6.

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 '(2 + -5b)' equal to zero and attempt to solve:

Simplifying
2 + -5b = 0

Solving
2 + -5b = 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 + -5b = 0 + -2

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

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

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

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

Simplifying
0 = -2 + 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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