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

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


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

Reorder the terms for easier multiplication:
4[6a + -2 * 6a * a2(3a + 6b)] = 0

Multiply -2 * 6
4[6a + -12a * a2(3a + 6b)] = 0

Multiply a * a2
4[6a + -12a3(3a + 6b)] = 0
4[6a + (3a * -12a3 + 6b * -12a3)] = 0

Reorder the terms:
4[6a + (-72a3b + -36a4)] = 0
4[6a + (-72a3b + -36a4)] = 0
[6a * 4 + -72a3b * 4 + -36a4 * 4] = 0
[24a + -288a3b + -144a4] = 0

Solving
24a + -288a3b + -144a4 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '24a'.
24a(1 + -12a2b + -6a3) = 0

Ignore the factor 24.

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 + -12a2b + -6a3)' equal to zero and attempt to solve:

Simplifying
1 + -12a2b + -6a3 = 0

Solving
1 + -12a2b + -6a3 = 0

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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