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Simplifying (A + -5)(2a + -6) = 0 Reorder the terms: (-5 + A)(2a + -6) = 0 Reorder the terms: (-5 + A)(-6 + 2a) = 0 Multiply (-5 + A) * (-6 + 2a) (-5(-6 + 2a) + A(-6 + 2a)) = 0 ((-6 * -5 + 2a * -5) + A(-6 + 2a)) = 0 ((30 + -10a) + A(-6 + 2a)) = 0 (30 + -10a + (-6 * A + 2a * A)) = 0 (30 + -10a + (-6A + 2aA)) = 0 Reorder the terms: (30 + -6A + -10a + 2aA) = 0 (30 + -6A + -10a + 2aA) = 0 Solving 30 + -6A + -10a + 2aA = 0 Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -6A + -10a + -30 + 2aA = 0 + -30 Reorder the terms: 30 + -30 + -6A + -10a + 2aA = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -6A + -10a + 2aA = 0 + -30 -6A + -10a + 2aA = 0 + -30 Combine like terms: 0 + -30 = -30 -6A + -10a + 2aA = -30 Add '10a' to each side of the equation. -6A + -10a + 10a + 2aA = -30 + 10a Combine like terms: -10a + 10a = 0 -6A + 0 + 2aA = -30 + 10a -6A + 2aA = -30 + 10a Reorder the terms: 30 + -6A + -10a + 2aA = -30 + 10a + 30 + -10a Reorder the terms: 30 + -6A + -10a + 2aA = -30 + 30 + 10a + -10a Combine like terms: -30 + 30 = 0 30 + -6A + -10a + 2aA = 0 + 10a + -10a 30 + -6A + -10a + 2aA = 10a + -10a Combine like terms: 10a + -10a = 0 30 + -6A + -10a + 2aA = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(15 + -3A + -5a + aA) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(15 + -3A + -5a + aA)' equal to zero and attempt to solve: Simplifying 15 + -3A + -5a + aA = 0 Solving 15 + -3A + -5a + aA = 0 Move all terms containing A to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -3A + -5a + -15 + aA = 0 + -15 Reorder the terms: 15 + -15 + -3A + -5a + aA = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -3A + -5a + aA = 0 + -15 -3A + -5a + aA = 0 + -15 Combine like terms: 0 + -15 = -15 -3A + -5a + aA = -15 Add '5a' to each side of the equation. -3A + -5a + 5a + aA = -15 + 5a Combine like terms: -5a + 5a = 0 -3A + 0 + aA = -15 + 5a -3A + aA = -15 + 5a The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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