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Simplifying 2x2 + 3x + a + 1 = 0 Reorder the terms: 1 + a + 3x + 2x2 = 0 Solving 1 + a + 3x + 2x2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + a + 3x + -1 + 2x2 = 0 + -1 Reorder the terms: 1 + -1 + a + 3x + 2x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + a + 3x + 2x2 = 0 + -1 a + 3x + 2x2 = 0 + -1 Combine like terms: 0 + -1 = -1 a + 3x + 2x2 = -1 Add '-3x' to each side of the equation. a + 3x + -3x + 2x2 = -1 + -3x Combine like terms: 3x + -3x = 0 a + 0 + 2x2 = -1 + -3x a + 2x2 = -1 + -3x Add '-2x2' to each side of the equation. a + 2x2 + -2x2 = -1 + -3x + -2x2 Combine like terms: 2x2 + -2x2 = 0 a + 0 = -1 + -3x + -2x2 a = -1 + -3x + -2x2 Simplifying a = -1 + -3x + -2x2
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