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Simplifying 3(a + 5)(A + 5) = 0 Reorder the terms: 3(5 + a)(A + 5) = 0 Reorder the terms: 3(5 + a)(5 + A) = 0 Multiply (5 + a) * (5 + A) 3(5(5 + A) + a(5 + A)) = 0 3((5 * 5 + A * 5) + a(5 + A)) = 0 3((25 + 5A) + a(5 + A)) = 0 3(25 + 5A + (5 * a + A * a)) = 0 3(25 + 5A + (5a + aA)) = 0 3(25 + 5A + 5a + aA) = 0 (25 * 3 + 5A * 3 + 5a * 3 + aA * 3) = 0 (75 + 15A + 15a + 3aA) = 0 Solving 75 + 15A + 15a + 3aA = 0 Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-75' to each side of the equation. 75 + 15A + 15a + -75 + 3aA = 0 + -75 Reorder the terms: 75 + -75 + 15A + 15a + 3aA = 0 + -75 Combine like terms: 75 + -75 = 0 0 + 15A + 15a + 3aA = 0 + -75 15A + 15a + 3aA = 0 + -75 Combine like terms: 0 + -75 = -75 15A + 15a + 3aA = -75 Add '-15a' to each side of the equation. 15A + 15a + -15a + 3aA = -75 + -15a Combine like terms: 15a + -15a = 0 15A + 0 + 3aA = -75 + -15a 15A + 3aA = -75 + -15a Reorder the terms: 75 + 15A + 15a + 3aA = -75 + -15a + 75 + 15a Reorder the terms: 75 + 15A + 15a + 3aA = -75 + 75 + -15a + 15a Combine like terms: -75 + 75 = 0 75 + 15A + 15a + 3aA = 0 + -15a + 15a 75 + 15A + 15a + 3aA = -15a + 15a Combine like terms: -15a + 15a = 0 75 + 15A + 15a + 3aA = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(25 + 5A + 5a + aA) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(25 + 5A + 5a + aA)' equal to zero and attempt to solve: Simplifying 25 + 5A + 5a + aA = 0 Solving 25 + 5A + 5a + aA = 0 Move all terms containing A to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + 5A + 5a + -25 + aA = 0 + -25 Reorder the terms: 25 + -25 + 5A + 5a + aA = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 5A + 5a + aA = 0 + -25 5A + 5a + aA = 0 + -25 Combine like terms: 0 + -25 = -25 5A + 5a + aA = -25 Add '-5a' to each side of the equation. 5A + 5a + -5a + aA = -25 + -5a Combine like terms: 5a + -5a = 0 5A + 0 + aA = -25 + -5a 5A + aA = -25 + -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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