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Simplifying 14a2b2 + 51ab + 40 = 0 Reorder the terms: 40 + 51ab + 14a2b2 = 0 Solving 40 + 51ab + 14a2b2 = 0 Solving for variable 'a'. Factor a trinomial. (5 + 2ab)(8 + 7ab) = 0Subproblem 1
Set the factor '(5 + 2ab)' equal to zero and attempt to solve: Simplifying 5 + 2ab = 0 Solving 5 + 2ab = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2ab = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2ab = 0 + -5 2ab = 0 + -5 Combine like terms: 0 + -5 = -5 2ab = -5 Divide each side by '2b'. a = -2.5b-1 Simplifying a = -2.5b-1Subproblem 2
Set the factor '(8 + 7ab)' equal to zero and attempt to solve: Simplifying 8 + 7ab = 0 Solving 8 + 7ab = 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 + 7ab = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7ab = 0 + -8 7ab = 0 + -8 Combine like terms: 0 + -8 = -8 7ab = -8 Divide each side by '7b'. a = -1.142857143b-1 Simplifying a = -1.142857143b-1Solution
a = {-2.5b-1, -1.142857143b-1}
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