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Simplifying a2 + 3a + -28 = (a + -4)(a + [1]) Reorder the terms: -28 + 3a + a2 = (a + -4)(a + [1]) Reorder the terms: -28 + 3a + a2 = (-4 + a)(a + [1]) -28 + 3a + a2 = (-4 + a)(a + 1) Reorder the terms: -28 + 3a + a2 = (-4 + a)(1 + a) Multiply (-4 + a) * (1 + a) -28 + 3a + a2 = (-4(1 + a) + a(1 + a)) -28 + 3a + a2 = ((1 * -4 + a * -4) + a(1 + a)) -28 + 3a + a2 = ((-4 + -4a) + a(1 + a)) -28 + 3a + a2 = (-4 + -4a + (1 * a + a * a)) -28 + 3a + a2 = (-4 + -4a + (1a + a2)) Combine like terms: -4a + 1a = -3a -28 + 3a + a2 = (-4 + -3a + a2) Add '-1a2' to each side of the equation. -28 + 3a + a2 + -1a2 = -4 + -3a + a2 + -1a2 Combine like terms: a2 + -1a2 = 0 -28 + 3a + 0 = -4 + -3a + a2 + -1a2 -28 + 3a = -4 + -3a + a2 + -1a2 Combine like terms: a2 + -1a2 = 0 -28 + 3a = -4 + -3a + 0 -28 + 3a = -4 + -3a Solving -28 + 3a = -4 + -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. -28 + 3a + 3a = -4 + -3a + 3a Combine like terms: 3a + 3a = 6a -28 + 6a = -4 + -3a + 3a Combine like terms: -3a + 3a = 0 -28 + 6a = -4 + 0 -28 + 6a = -4 Add '28' to each side of the equation. -28 + 28 + 6a = -4 + 28 Combine like terms: -28 + 28 = 0 0 + 6a = -4 + 28 6a = -4 + 28 Combine like terms: -4 + 28 = 24 6a = 24 Divide each side by '6'. a = 4 Simplifying a = 4
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