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Simplifying 5A(A + 3) + -2A(2A + 5) = 0 Reorder the terms: 5A(3 + A) + -2A(2A + 5) = 0 (3 * 5A + A * 5A) + -2A(2A + 5) = 0 (15A + 5A2) + -2A(2A + 5) = 0 Reorder the terms: 15A + 5A2 + -2A(5 + 2A) = 0 15A + 5A2 + (5 * -2A + 2A * -2A) = 0 15A + 5A2 + (-10A + -4A2) = 0 Reorder the terms: 15A + -10A + 5A2 + -4A2 = 0 Combine like terms: 15A + -10A = 5A 5A + 5A2 + -4A2 = 0 Combine like terms: 5A2 + -4A2 = 1A2 5A + 1A2 = 0 Solving 5A + 1A2 = 0 Solving for variable 'A'. Factor out the Greatest Common Factor (GCF), 'A'. A(5 + A) = 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 + A)' equal to zero and attempt to solve: Simplifying 5 + A = 0 Solving 5 + A = 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 + A = 0 + -5 Combine like terms: 5 + -5 = 0 0 + A = 0 + -5 A = 0 + -5 Combine like terms: 0 + -5 = -5 A = -5 Simplifying A = -5Solution
A = {0, -5}
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