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Simplifying (5ab + 2)(5ab + 5) = 0 Reorder the terms: (2 + 5ab)(5ab + 5) = 0 Reorder the terms: (2 + 5ab)(5 + 5ab) = 0 Multiply (2 + 5ab) * (5 + 5ab) (2(5 + 5ab) + 5ab * (5 + 5ab)) = 0 ((5 * 2 + 5ab * 2) + 5ab * (5 + 5ab)) = 0 ((10 + 10ab) + 5ab * (5 + 5ab)) = 0 (10 + 10ab + (5 * 5ab + 5ab * 5ab)) = 0 (10 + 10ab + (25ab + 25a2b2)) = 0 Combine like terms: 10ab + 25ab = 35ab (10 + 35ab + 25a2b2) = 0 Solving 10 + 35ab + 25a2b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '5'. 5(2 + 7ab + 5a2b2) = 0 Factor a trinomial. 5((1 + ab)(2 + 5ab)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(1 + ab)' equal to zero and attempt to solve: Simplifying 1 + ab = 0 Solving 1 + ab = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + ab = 0 + -1 Combine like terms: 1 + -1 = 0 0 + ab = 0 + -1 ab = 0 + -1 Combine like terms: 0 + -1 = -1 ab = -1 Divide each side by 'b'. a = -1b-1 Simplifying a = -1b-1Subproblem 2
Set the factor '(2 + 5ab)' equal to zero and attempt to solve: Simplifying 2 + 5ab = 0 Solving 2 + 5ab = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5ab = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5ab = 0 + -2 5ab = 0 + -2 Combine like terms: 0 + -2 = -2 5ab = -2 Divide each side by '5b'. a = -0.4b-1 Simplifying a = -0.4b-1Solution
a = {-1b-1, -0.4b-1}
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