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

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


Simplifying
(3a3 + 4b3) + -1(4a2b + -2ab2 + 4b3 + 3a3) = 0

Remove parenthesis around (3a3 + 4b3)
3a3 + 4b3 + -1(4a2b + -2ab2 + 4b3 + 3a3) = 0

Reorder the terms:
3a3 + 4b3 + -1(-2ab2 + 4a2b + 3a3 + 4b3) = 0
3a3 + 4b3 + (-2ab2 * -1 + 4a2b * -1 + 3a3 * -1 + 4b3 * -1) = 0
3a3 + 4b3 + (2ab2 + -4a2b + -3a3 + -4b3) = 0

Reorder the terms:
2ab2 + -4a2b + 3a3 + -3a3 + 4b3 + -4b3 = 0

Combine like terms: 3a3 + -3a3 = 0
2ab2 + -4a2b + 0 + 4b3 + -4b3 = 0
2ab2 + -4a2b + 4b3 + -4b3 = 0

Combine like terms: 4b3 + -4b3 = 0
2ab2 + -4a2b + 0 = 0
2ab2 + -4a2b = 0

Solving
2ab2 + -4a2b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2ab'.
2ab(b + -2a) = 0

Ignore the factor 2.

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

Simplifying
b + -2a = 0

Reorder the terms:
-2a + b = 0

Solving
-2a + b = 0

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

Add '-1b' to each side of the equation.
-2a + b + -1b = 0 + -1b

Combine like terms: b + -1b = 0
-2a + 0 = 0 + -1b
-2a = 0 + -1b
Remove the zero:
-2a = -1b

Divide each side by '-2'.
a = 0.5b

Simplifying
a = 0.5b
Solution
a = {0.5b}

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