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Simplifying a2 + 3a + 4 = (a + 2)(a + -5) Reorder the terms: 4 + 3a + a2 = (a + 2)(a + -5) Reorder the terms: 4 + 3a + a2 = (2 + a)(a + -5) Reorder the terms: 4 + 3a + a2 = (2 + a)(-5 + a) Multiply (2 + a) * (-5 + a) 4 + 3a + a2 = (2(-5 + a) + a(-5 + a)) 4 + 3a + a2 = ((-5 * 2 + a * 2) + a(-5 + a)) 4 + 3a + a2 = ((-10 + 2a) + a(-5 + a)) 4 + 3a + a2 = (-10 + 2a + (-5 * a + a * a)) 4 + 3a + a2 = (-10 + 2a + (-5a + a2)) Combine like terms: 2a + -5a = -3a 4 + 3a + a2 = (-10 + -3a + a2) Add '-1a2' to each side of the equation. 4 + 3a + a2 + -1a2 = -10 + -3a + a2 + -1a2 Combine like terms: a2 + -1a2 = 0 4 + 3a + 0 = -10 + -3a + a2 + -1a2 4 + 3a = -10 + -3a + a2 + -1a2 Combine like terms: a2 + -1a2 = 0 4 + 3a = -10 + -3a + 0 4 + 3a = -10 + -3a Solving 4 + 3a = -10 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 4 + 3a + 3a = -10 + -3a + 3a Combine like terms: 3a + 3a = 6a 4 + 6a = -10 + -3a + 3a Combine like terms: -3a + 3a = 0 4 + 6a = -10 + 0 4 + 6a = -10 Add '-4' to each side of the equation. 4 + -4 + 6a = -10 + -4 Combine like terms: 4 + -4 = 0 0 + 6a = -10 + -4 6a = -10 + -4 Combine like terms: -10 + -4 = -14 6a = -14 Divide each side by '6'. a = -2.333333333 Simplifying a = -2.333333333
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