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Simplifying a + 198 = 2(x + 7)(x + -3) Reorder the terms: 198 + a = 2(x + 7)(x + -3) Reorder the terms: 198 + a = 2(7 + x)(x + -3) Reorder the terms: 198 + a = 2(7 + x)(-3 + x) Multiply (7 + x) * (-3 + x) 198 + a = 2(7(-3 + x) + x(-3 + x)) 198 + a = 2((-3 * 7 + x * 7) + x(-3 + x)) 198 + a = 2((-21 + 7x) + x(-3 + x)) 198 + a = 2(-21 + 7x + (-3 * x + x * x)) 198 + a = 2(-21 + 7x + (-3x + x2)) Combine like terms: 7x + -3x = 4x 198 + a = 2(-21 + 4x + x2) 198 + a = (-21 * 2 + 4x * 2 + x2 * 2) 198 + a = (-42 + 8x + 2x2) Solving 198 + a = -42 + 8x + 2x2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-198' to each side of the equation. 198 + -198 + a = -42 + 8x + -198 + 2x2 Combine like terms: 198 + -198 = 0 0 + a = -42 + 8x + -198 + 2x2 a = -42 + 8x + -198 + 2x2 Reorder the terms: a = -42 + -198 + 8x + 2x2 Combine like terms: -42 + -198 = -240 a = -240 + 8x + 2x2 Simplifying a = -240 + 8x + 2x2
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