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Simplifying A(2a + -1)(a + 3) = 0 Reorder the terms: A(-1 + 2a)(a + 3) = 0 Reorder the terms: A(-1 + 2a)(3 + a) = 0 Multiply (-1 + 2a) * (3 + a) A(-1(3 + a) + 2a * (3 + a)) = 0 A((3 * -1 + a * -1) + 2a * (3 + a)) = 0 A((-3 + -1a) + 2a * (3 + a)) = 0 A(-3 + -1a + (3 * 2a + a * 2a)) = 0 A(-3 + -1a + (6a + 2a2)) = 0 Combine like terms: -1a + 6a = 5a A(-3 + 5a + 2a2) = 0 (-3 * A + 5a * A + 2a2 * A) = 0 (-3A + 5aA + 2a2A) = 0 Solving -3A + 5aA + 2a2A = 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(-3 + 5a + 2a2) = 0 Factor a trinomial. A((-3 + -1a)(1 + -2a)) = 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 + -1a)' equal to zero and attempt to solve: Simplifying -3 + -1a = 0 Solving -3 + -1a = 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 + -1a = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1a = 0 + 3 -1a = 0 + 3 Combine like terms: 0 + 3 = 3 -1a = 3 Add 'a' to each side of the equation. -1a + a = 3 + a Combine like terms: -1a + a = 0 0 = 3 + a Simplifying 0 = 3 + a 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 '(1 + -2a)' equal to zero and attempt to solve: Simplifying 1 + -2a = 0 Solving 1 + -2a = 0 Move all terms containing A to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2a = 0 + -1 -2a = 0 + -1 Combine like terms: 0 + -1 = -1 -2a = -1 Add '2a' to each side of the equation. -2a + 2a = -1 + 2a Combine like terms: -2a + 2a = 0 0 = -1 + 2a Simplifying 0 = -1 + 2a 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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