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Simplifying (ab + -9)(ab + 8) = 0 Reorder the terms: (-9 + ab)(ab + 8) = 0 Reorder the terms: (-9 + ab)(8 + ab) = 0 Multiply (-9 + ab) * (8 + ab) (-9(8 + ab) + ab(8 + ab)) = 0 ((8 * -9 + ab * -9) + ab(8 + ab)) = 0 ((-72 + -9ab) + ab(8 + ab)) = 0 (-72 + -9ab + (8 * ab + ab * ab)) = 0 (-72 + -9ab + (8ab + a2b2)) = 0 Combine like terms: -9ab + 8ab = -1ab (-72 + -1ab + a2b2) = 0 Solving -72 + -1ab + a2b2 = 0 Solving for variable 'a'. Factor a trinomial. (-8 + -1ab)(9 + -1ab) = 0Subproblem 1
Set the factor '(-8 + -1ab)' equal to zero and attempt to solve: Simplifying -8 + -1ab = 0 Solving -8 + -1ab = 0 Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1ab = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1ab = 0 + 8 -1ab = 0 + 8 Combine like terms: 0 + 8 = 8 -1ab = 8 Divide each side by '-1b'. a = -8b-1 Simplifying a = -8b-1Subproblem 2
Set the factor '(9 + -1ab)' equal to zero and attempt to solve: Simplifying 9 + -1ab = 0 Solving 9 + -1ab = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1ab = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1ab = 0 + -9 -1ab = 0 + -9 Combine like terms: 0 + -9 = -9 -1ab = -9 Divide each side by '-1b'. a = 9b-1 Simplifying a = 9b-1Solution
a = {-8b-1, 9b-1}
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