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Simplifying A(5n + -2)(2n + 5) = 0 Reorder the terms: A(-2 + 5n)(2n + 5) = 0 Reorder the terms: A(-2 + 5n)(5 + 2n) = 0 Multiply (-2 + 5n) * (5 + 2n) A(-2(5 + 2n) + 5n * (5 + 2n)) = 0 A((5 * -2 + 2n * -2) + 5n * (5 + 2n)) = 0 A((-10 + -4n) + 5n * (5 + 2n)) = 0 A(-10 + -4n + (5 * 5n + 2n * 5n)) = 0 A(-10 + -4n + (25n + 10n2)) = 0 Combine like terms: -4n + 25n = 21n A(-10 + 21n + 10n2) = 0 (-10 * A + 21n * A + 10n2 * A) = 0 (-10A + 21nA + 10n2A) = 0 Solving -10A + 21nA + 10n2A = 0 Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'A'. A(-10 + 21n + 10n2) = 0 Factor a trinomial. A((-5 + -2n)(2 + -5n)) = 0Subproblem 1
Set the factor 'A' equal to zero and attempt to solve: Simplifying A = 0 Solving A = 0 Move all terms containing A to the left, all other terms to the right. Simplifying A = 0Subproblem 2
Set the factor '(-5 + -2n)' equal to zero and attempt to solve: Simplifying -5 + -2n = 0 Solving -5 + -2n = 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 + -2n = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2n = 0 + 5 -2n = 0 + 5 Combine like terms: 0 + 5 = 5 -2n = 5 Add '2n' to each side of the equation. -2n + 2n = 5 + 2n Combine like terms: -2n + 2n = 0 0 = 5 + 2n Simplifying 0 = 5 + 2n The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(2 + -5n)' equal to zero and attempt to solve: Simplifying 2 + -5n = 0 Solving 2 + -5n = 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 + -5n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5n = 0 + -2 -5n = 0 + -2 Combine like terms: 0 + -2 = -2 -5n = -2 Add '5n' to each side of the equation. -5n + 5n = -2 + 5n Combine like terms: -5n + 5n = 0 0 = -2 + 5n Simplifying 0 = -2 + 5n The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
A = {0}
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