3a^3(2a-7)+4a^2(3a^2-8a)=

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Solution for 3a^3(2a-7)+4a^2(3a^2-8a)= equation: 


Simplifying
3a3(2a + -7) + 4a2(3a2 + -8a) = 0

Reorder the terms:
3a3(-7 + 2a) + 4a2(3a2 + -8a) = 0
(-7 * 3a3 + 2a * 3a3) + 4a2(3a2 + -8a) = 0
(-21a3 + 6a4) + 4a2(3a2 + -8a) = 0

Reorder the terms:
-21a3 + 6a4 + 4a2(-8a + 3a2) = 0
-21a3 + 6a4 + (-8a * 4a2 + 3a2 * 4a2) = 0
-21a3 + 6a4 + (-32a3 + 12a4) = 0

Reorder the terms:
-21a3 + -32a3 + 6a4 + 12a4 = 0

Combine like terms: -21a3 + -32a3 = -53a3
-53a3 + 6a4 + 12a4 = 0

Combine like terms: 6a4 + 12a4 = 18a4
-53a3 + 18a4 = 0

Solving
-53a3 + 18a4 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a3'.
a3(-53 + 18a) = 0


Subproblem 1
Set the factor 'a3' equal to zero and attempt to solve:

Simplifying
a3 = 0

Solving
a3 = 0

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

Simplifying
a3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-53 + 18a)' equal to zero and attempt to solve:

Simplifying
-53 + 18a = 0

Solving
-53 + 18a = 0

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

Add '53' to each side of the equation.
-53 + 53 + 18a = 0 + 53

Combine like terms: -53 + 53 = 0
0 + 18a = 0 + 53
18a = 0 + 53

Combine like terms: 0 + 53 = 53
18a = 53

Divide each side by '18'.
a = 2.944444444

Simplifying
a = 2.944444444
Solution
a = {2.944444444}

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