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

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


Simplifying
(a2 + b2 + 3)(ab + -1b) = 0

Reorder the terms:
(3 + a2 + b2)(ab + -1b) = 0

Multiply (3 + a2 + b2) * (ab + -1b)
(3(ab + -1b) + a2(ab + -1b) + b2(ab + -1b)) = 0
((ab * 3 + -1b * 3) + a2(ab + -1b) + b2(ab + -1b)) = 0
((3ab + -3b) + a2(ab + -1b) + b2(ab + -1b)) = 0
(3ab + -3b + (ab * a2 + -1b * a2) + b2(ab + -1b)) = 0

Reorder the terms:
(3ab + -3b + (-1a2b + a3b) + b2(ab + -1b)) = 0
(3ab + -3b + (-1a2b + a3b) + b2(ab + -1b)) = 0
(3ab + -3b + -1a2b + a3b + (ab * b2 + -1b * b2)) = 0
(3ab + -3b + -1a2b + a3b + (ab3 + -1b3)) = 0

Reorder the terms:
(3ab + ab3 + -1a2b + a3b + -3b + -1b3) = 0
(3ab + ab3 + -1a2b + a3b + -3b + -1b3) = 0

Solving
3ab + ab3 + -1a2b + a3b + -3b + -1b3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(3a + ab2 + -1a2 + a3 + -3 + -1b2) = 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 '(3a + ab2 + -1a2 + a3 + -3 + -1b2)' equal to zero and attempt to solve: Simplifying 3a + ab2 + -1a2 + a3 + -3 + -1b2 = 0 Reorder the terms: -3 + 3a + ab2 + -1a2 + a3 + -1b2 = 0 Solving -3 + 3a + ab2 + -1a2 + a3 + -1b2 = 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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