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Simplifying A(t + -3)(t + -9) = 0 Reorder the terms: A(-3 + t)(t + -9) = 0 Reorder the terms: A(-3 + t)(-9 + t) = 0 Multiply (-3 + t) * (-9 + t) A(-3(-9 + t) + t(-9 + t)) = 0 A((-9 * -3 + t * -3) + t(-9 + t)) = 0 A((27 + -3t) + t(-9 + t)) = 0 A(27 + -3t + (-9 * t + t * t)) = 0 A(27 + -3t + (-9t + t2)) = 0 Combine like terms: -3t + -9t = -12t A(27 + -12t + t2) = 0 (27 * A + -12t * A + t2 * A) = 0 (27A + -12tA + t2A) = 0 Solving 27A + -12tA + t2A = 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(27 + -12t + t2) = 0 Factor a trinomial. A((3 + -1t)(9 + -1t)) = 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 '(3 + -1t)' equal to zero and attempt to solve: Simplifying 3 + -1t = 0 Solving 3 + -1t = 0 Move all terms containing A to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1t = 0 + -3 -1t = 0 + -3 Combine like terms: 0 + -3 = -3 -1t = -3 Add 't' to each side of the equation. -1t + t = -3 + t Combine like terms: -1t + t = 0 0 = -3 + t Simplifying 0 = -3 + t 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 '(9 + -1t)' equal to zero and attempt to solve: Simplifying 9 + -1t = 0 Solving 9 + -1t = 0 Move all terms containing A to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1t = 0 + -9 -1t = 0 + -9 Combine like terms: 0 + -9 = -9 -1t = -9 Add 't' to each side of the equation. -1t + t = -9 + t Combine like terms: -1t + t = 0 0 = -9 + t Simplifying 0 = -9 + t 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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