3ab(4a-5b)+4b^2(2a^2+1)=0

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Solution for 3ab(4a-5b)+4b^2(2a^2+1)=0 equation:


Simplifying
3ab(4a + -5b) + 4b2(2a2 + 1) = 0
(4a * 3ab + -5b * 3ab) + 4b2(2a2 + 1) = 0

Reorder the terms:
(-15ab2 + 12a2b) + 4b2(2a2 + 1) = 0
(-15ab2 + 12a2b) + 4b2(2a2 + 1) = 0

Reorder the terms:
-15ab2 + 12a2b + 4b2(1 + 2a2) = 0
-15ab2 + 12a2b + (1 * 4b2 + 2a2 * 4b2) = 0

Reorder the terms:
-15ab2 + 12a2b + (8a2b2 + 4b2) = 0
-15ab2 + 12a2b + (8a2b2 + 4b2) = 0

Solving
-15ab2 + 12a2b + 8a2b2 + 4b2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(-15ab + 12a2 + 8a2b + 4b) = 0

Subproblem 1

Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. b + -1b = 0 + -1b Remove the zero: 0 = -1b Simplifying 0 = -1b 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 '(-15ab + 12a2 + 8a2b + 4b)' equal to zero and attempt to solve: Simplifying -15ab + 12a2 + 8a2b + 4b = 0 Solving -15ab + 12a2 + 8a2b + 4b = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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