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Simplifying (3a + 4)(a + 2) = 3a2 + 10a + 8 Reorder the terms: (4 + 3a)(a + 2) = 3a2 + 10a + 8 Reorder the terms: (4 + 3a)(2 + a) = 3a2 + 10a + 8 Multiply (4 + 3a) * (2 + a) (4(2 + a) + 3a * (2 + a)) = 3a2 + 10a + 8 ((2 * 4 + a * 4) + 3a * (2 + a)) = 3a2 + 10a + 8 ((8 + 4a) + 3a * (2 + a)) = 3a2 + 10a + 8 (8 + 4a + (2 * 3a + a * 3a)) = 3a2 + 10a + 8 (8 + 4a + (6a + 3a2)) = 3a2 + 10a + 8 Combine like terms: 4a + 6a = 10a (8 + 10a + 3a2) = 3a2 + 10a + 8 Reorder the terms: 8 + 10a + 3a2 = 8 + 10a + 3a2 Add '-8' to each side of the equation. 8 + 10a + -8 + 3a2 = 8 + 10a + -8 + 3a2 Reorder the terms: 8 + -8 + 10a + 3a2 = 8 + 10a + -8 + 3a2 Combine like terms: 8 + -8 = 0 0 + 10a + 3a2 = 8 + 10a + -8 + 3a2 10a + 3a2 = 8 + 10a + -8 + 3a2 Reorder the terms: 10a + 3a2 = 8 + -8 + 10a + 3a2 Combine like terms: 8 + -8 = 0 10a + 3a2 = 0 + 10a + 3a2 10a + 3a2 = 10a + 3a2 Add '-10a' to each side of the equation. 10a + -10a + 3a2 = 10a + -10a + 3a2 Combine like terms: 10a + -10a = 0 0 + 3a2 = 10a + -10a + 3a2 3a2 = 10a + -10a + 3a2 Combine like terms: 10a + -10a = 0 3a2 = 0 + 3a2 3a2 = 3a2 Add '-3a2' to each side of the equation. 3a2 + -3a2 = 3a2 + -3a2 Combine like terms: 3a2 + -3a2 = 0 0 = 3a2 + -3a2 Combine like terms: 3a2 + -3a2 = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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