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Simplifying (A + 5)(A + 2) = 0 Reorder the terms: (5 + A)(A + 2) = 0 Reorder the terms: (5 + A)(2 + A) = 0 Multiply (5 + A) * (2 + A) (5(2 + A) + A(2 + A)) = 0 ((2 * 5 + A * 5) + A(2 + A)) = 0 ((10 + 5A) + A(2 + A)) = 0 (10 + 5A + (2 * A + A * A)) = 0 (10 + 5A + (2A + A2)) = 0 Combine like terms: 5A + 2A = 7A (10 + 7A + A2) = 0 Solving 10 + 7A + A2 = 0 Solving for variable 'A'. Factor a trinomial. (5 + A)(2 + A) = 0Subproblem 1
Set the factor '(5 + A)' equal to zero and attempt to solve: Simplifying 5 + A = 0 Solving 5 + A = 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 + A = 0 + -5 Combine like terms: 5 + -5 = 0 0 + A = 0 + -5 A = 0 + -5 Combine like terms: 0 + -5 = -5 A = -5 Simplifying A = -5Subproblem 2
Set the factor '(2 + A)' equal to zero and attempt to solve: Simplifying 2 + A = 0 Solving 2 + A = 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 + A = 0 + -2 Combine like terms: 2 + -2 = 0 0 + A = 0 + -2 A = 0 + -2 Combine like terms: 0 + -2 = -2 A = -2 Simplifying A = -2Solution
A = {-5, -2}
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