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Simplifying 3a2 + -1 = (a + 1)(3a + 2) Reorder the terms: -1 + 3a2 = (a + 1)(3a + 2) Reorder the terms: -1 + 3a2 = (1 + a)(3a + 2) Reorder the terms: -1 + 3a2 = (1 + a)(2 + 3a) Multiply (1 + a) * (2 + 3a) -1 + 3a2 = (1(2 + 3a) + a(2 + 3a)) -1 + 3a2 = ((2 * 1 + 3a * 1) + a(2 + 3a)) -1 + 3a2 = ((2 + 3a) + a(2 + 3a)) -1 + 3a2 = (2 + 3a + (2 * a + 3a * a)) -1 + 3a2 = (2 + 3a + (2a + 3a2)) Combine like terms: 3a + 2a = 5a -1 + 3a2 = (2 + 5a + 3a2) Add '-3a2' to each side of the equation. -1 + 3a2 + -3a2 = 2 + 5a + 3a2 + -3a2 Combine like terms: 3a2 + -3a2 = 0 -1 + 0 = 2 + 5a + 3a2 + -3a2 -1 = 2 + 5a + 3a2 + -3a2 Combine like terms: 3a2 + -3a2 = 0 -1 = 2 + 5a + 0 -1 = 2 + 5a Solving -1 = 2 + 5a 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. -1 + -5a = 2 + 5a + -5a Combine like terms: 5a + -5a = 0 -1 + -5a = 2 + 0 -1 + -5a = 2 Add '1' to each side of the equation. -1 + 1 + -5a = 2 + 1 Combine like terms: -1 + 1 = 0 0 + -5a = 2 + 1 -5a = 2 + 1 Combine like terms: 2 + 1 = 3 -5a = 3 Divide each side by '-5'. a = -0.6 Simplifying a = -0.6
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