(3a^3+4b^3)-(4a^2b-5ab^2+4b^3+3a^3)=

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Solution for (3a^3+4b^3)-(4a^2b-5ab^2+4b^3+3a^3)= equation: 


Simplifying
(3a3 + 4b3) + -1(4a2b + -5ab2 + 4b3 + 3a3) = 0

Remove parenthesis around (3a3 + 4b3)
3a3 + 4b3 + -1(4a2b + -5ab2 + 4b3 + 3a3) = 0

Reorder the terms:
3a3 + 4b3 + -1(-5ab2 + 4a2b + 3a3 + 4b3) = 0
3a3 + 4b3 + (-5ab2 * -1 + 4a2b * -1 + 3a3 * -1 + 4b3 * -1) = 0
3a3 + 4b3 + (5ab2 + -4a2b + -3a3 + -4b3) = 0

Reorder the terms:
5ab2 + -4a2b + 3a3 + -3a3 + 4b3 + -4b3 = 0

Combine like terms: 3a3 + -3a3 = 0
5ab2 + -4a2b + 0 + 4b3 + -4b3 = 0
5ab2 + -4a2b + 4b3 + -4b3 = 0

Combine like terms: 4b3 + -4b3 = 0
5ab2 + -4a2b + 0 = 0
5ab2 + -4a2b = 0

Solving
5ab2 + -4a2b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'ab'.
ab(5b + -4a) = 0


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

Simplifying
ab = 0

Solving
ab = 0

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

Simplifying
ab = 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 '(5b + -4a)' equal to zero and attempt to solve:

Simplifying
5b + -4a = 0

Reorder the terms:
-4a + 5b = 0

Solving
-4a + 5b = 0

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

Add '-5b' to each side of the equation.
-4a + 5b + -5b = 0 + -5b

Combine like terms: 5b + -5b = 0
-4a + 0 = 0 + -5b
-4a = 0 + -5b
Remove the zero:
-4a = -5b

Divide each side by '-4'.
a = 1.25b

Simplifying
a = 1.25b
Solution
a = {1.25b}

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