2AB(3A^2-5B^2)=

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Solution for 2AB(3A^2-5B^2)= equation:


Simplifying
2AB(3A2 + -5B2) = 0
(3A2 * 2AB + -5B2 * 2AB) = 0

Reorder the terms:
(-10AB3 + 6A3B) = 0
(-10AB3 + 6A3B) = 0

Solving
-10AB3 + 6A3B = 0

Solving for variable 'A'.

Factor out the Greatest Common Factor (GCF), '2AB'.
2AB(-5B2 + 3A2) = 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 '(-5B2 + 3A2)' equal to zero and attempt to solve: Simplifying -5B2 + 3A2 = 0 Reorder the terms: 3A2 + -5B2 = 0 Solving 3A2 + -5B2 = 0 Move all terms containing A to the left, all other terms to the right. Add '5B2' to each side of the equation. 3A2 + -5B2 + 5B2 = 0 + 5B2 Combine like terms: -5B2 + 5B2 = 0 3A2 + 0 = 0 + 5B2 3A2 = 0 + 5B2 Remove the zero: 3A2 = 5B2 Divide each side by '3'. A2 = 1.666666667B2 Simplifying A2 = 1.666666667B2 Take the square root of each side: A = {-1.290994449B, 1.290994449B}

Solution

A = {-1.290994449B, 1.290994449B}

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