a^2b^2+6ab+9=0

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Solution for a^2b^2+6ab+9=0 equation:


Simplifying
a2b2 + 6ab + 9 = 0

Reorder the terms:
9 + 6ab + a2b2 = 0

Solving
9 + 6ab + a2b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(3 + ab)(3 + ab) = 0

Subproblem 1

Set the factor '(3 + ab)' equal to zero and attempt to solve: Simplifying 3 + ab = 0 Solving 3 + ab = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + ab = 0 + -3 Combine like terms: 3 + -3 = 0 0 + ab = 0 + -3 ab = 0 + -3 Combine like terms: 0 + -3 = -3 ab = -3 Divide each side by 'b'. a = -3b-1 Simplifying a = -3b-1

Subproblem 2

Set the factor '(3 + ab)' equal to zero and attempt to solve: Simplifying 3 + ab = 0 Solving 3 + ab = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + ab = 0 + -3 Combine like terms: 3 + -3 = 0 0 + ab = 0 + -3 ab = 0 + -3 Combine like terms: 0 + -3 = -3 ab = -3 Divide each side by 'b'. a = -3b-1 Simplifying a = -3b-1

Solution

a = {-3b-1, -3b-1}

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