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Simplifying (A + -7)(A + -8) = 0 Reorder the terms: (-7 + A)(A + -8) = 0 Reorder the terms: (-7 + A)(-8 + A) = 0 Multiply (-7 + A) * (-8 + A) (-7(-8 + A) + A(-8 + A)) = 0 ((-8 * -7 + A * -7) + A(-8 + A)) = 0 ((56 + -7A) + A(-8 + A)) = 0 (56 + -7A + (-8 * A + A * A)) = 0 (56 + -7A + (-8A + A2)) = 0 Combine like terms: -7A + -8A = -15A (56 + -15A + A2) = 0 Solving 56 + -15A + A2 = 0 Solving for variable 'A'. Factor a trinomial. (7 + -1A)(8 + -1A) = 0Subproblem 1
Set the factor '(7 + -1A)' equal to zero and attempt to solve: Simplifying 7 + -1A = 0 Solving 7 + -1A = 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 + -1A = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1A = 0 + -7 -1A = 0 + -7 Combine like terms: 0 + -7 = -7 -1A = -7 Divide each side by '-1'. A = 7 Simplifying A = 7Subproblem 2
Set the factor '(8 + -1A)' equal to zero and attempt to solve: Simplifying 8 + -1A = 0 Solving 8 + -1A = 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 + -1A = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1A = 0 + -8 -1A = 0 + -8 Combine like terms: 0 + -8 = -8 -1A = -8 Divide each side by '-1'. A = 8 Simplifying A = 8Solution
A = {7, 8}
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