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Simplifying 3a2 + 40a + 37 = (3a + 37)(a + 1) Reorder the terms: 37 + 40a + 3a2 = (3a + 37)(a + 1) Reorder the terms: 37 + 40a + 3a2 = (37 + 3a)(a + 1) Reorder the terms: 37 + 40a + 3a2 = (37 + 3a)(1 + a) Multiply (37 + 3a) * (1 + a) 37 + 40a + 3a2 = (37(1 + a) + 3a * (1 + a)) 37 + 40a + 3a2 = ((1 * 37 + a * 37) + 3a * (1 + a)) 37 + 40a + 3a2 = ((37 + 37a) + 3a * (1 + a)) 37 + 40a + 3a2 = (37 + 37a + (1 * 3a + a * 3a)) 37 + 40a + 3a2 = (37 + 37a + (3a + 3a2)) Combine like terms: 37a + 3a = 40a 37 + 40a + 3a2 = (37 + 40a + 3a2) Add '-37' to each side of the equation. 37 + 40a + -37 + 3a2 = 37 + 40a + -37 + 3a2 Reorder the terms: 37 + -37 + 40a + 3a2 = 37 + 40a + -37 + 3a2 Combine like terms: 37 + -37 = 0 0 + 40a + 3a2 = 37 + 40a + -37 + 3a2 40a + 3a2 = 37 + 40a + -37 + 3a2 Reorder the terms: 40a + 3a2 = 37 + -37 + 40a + 3a2 Combine like terms: 37 + -37 = 0 40a + 3a2 = 0 + 40a + 3a2 40a + 3a2 = 40a + 3a2 Add '-40a' to each side of the equation. 40a + -40a + 3a2 = 40a + -40a + 3a2 Combine like terms: 40a + -40a = 0 0 + 3a2 = 40a + -40a + 3a2 3a2 = 40a + -40a + 3a2 Combine like terms: 40a + -40a = 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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