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Simplifying A(3a + 1) + a(2a + -5) = 0 Reorder the terms: A(1 + 3a) + a(2a + -5) = 0 (1 * A + 3a * A) + a(2a + -5) = 0 (1A + 3aA) + a(2a + -5) = 0 Reorder the terms: 1A + 3aA + a(-5 + 2a) = 0 1A + 3aA + (-5 * a + 2a * a) = 0 1A + 3aA + (-5a + 2a2) = 0 Reorder the terms: 1A + -5a + 3aA + 2a2 = 0 Solving 1A + -5a + 3aA + 2a2 = 0 Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '5a' to each side of the equation. 1A + -5a + 3aA + 5a + 2a2 = 0 + 5a Reorder the terms: 1A + -5a + 5a + 3aA + 2a2 = 0 + 5a Combine like terms: -5a + 5a = 0 1A + 0 + 3aA + 2a2 = 0 + 5a 1A + 3aA + 2a2 = 0 + 5a Remove the zero: 1A + 3aA + 2a2 = 5a Add '-2a2' to each side of the equation. 1A + 3aA + 2a2 + -2a2 = 5a + -2a2 Combine like terms: 2a2 + -2a2 = 0 1A + 3aA + 0 = 5a + -2a2 1A + 3aA = 5a + -2a2 Reorder the terms: 1A + -5a + 3aA + 2a2 = 5a + -2a2 + -5a + 2a2 Reorder the terms: 1A + -5a + 3aA + 2a2 = 5a + -5a + -2a2 + 2a2 Combine like terms: 5a + -5a = 0 1A + -5a + 3aA + 2a2 = 0 + -2a2 + 2a2 1A + -5a + 3aA + 2a2 = -2a2 + 2a2 Combine like terms: -2a2 + 2a2 = 0 1A + -5a + 3aA + 2a2 = 0 The solution to this equation could not be determined.
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