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Simplifying a2b2 + 14ab + 49 = 0 Reorder the terms: 49 + 14ab + a2b2 = 0 Solving 49 + 14ab + a2b2 = 0 Solving for variable 'a'. Factor a trinomial. (7 + ab)(7 + ab) = 0Subproblem 1
Set the factor '(7 + ab)' equal to zero and attempt to solve: Simplifying 7 + ab = 0 Solving 7 + ab = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + ab = 0 + -7 Combine like terms: 7 + -7 = 0 0 + ab = 0 + -7 ab = 0 + -7 Combine like terms: 0 + -7 = -7 ab = -7 Divide each side by 'b'. a = -7b-1 Simplifying a = -7b-1Subproblem 2
Set the factor '(7 + ab)' equal to zero and attempt to solve: Simplifying 7 + ab = 0 Solving 7 + ab = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + ab = 0 + -7 Combine like terms: 7 + -7 = 0 0 + ab = 0 + -7 ab = 0 + -7 Combine like terms: 0 + -7 = -7 ab = -7 Divide each side by 'b'. a = -7b-1 Simplifying a = -7b-1Solution
a = {-7b-1, -7b-1}
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