6a(3a^2-4b^7)=

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Solution for 6a(3a^2-4b^7)= equation: 


Simplifying
6a(3a2 + -4b7) = 0
(3a2 * 6a + -4b7 * 6a) = 0

Reorder the terms:
(-24ab7 + 18a3) = 0
(-24ab7 + 18a3) = 0

Solving
-24ab7 + 18a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '6a'.
6a(-4b7 + 3a2) = 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 '(-4b7 + 3a2)' equal to zero and attempt to solve:

Simplifying
-4b7 + 3a2 = 0

Reorder the terms:
3a2 + -4b7 = 0

Solving
3a2 + -4b7 = 0

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

Add '4b7' to each side of the equation.
3a2 + -4b7 + 4b7 = 0 + 4b7

Combine like terms: -4b7 + 4b7 = 0
3a2 + 0 = 0 + 4b7
3a2 = 0 + 4b7
Remove the zero:
3a2 = 4b7

Divide each side by '3'.
a2 = 1.333333333b7

Simplifying
a2 = 1.333333333b7

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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