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Simplifying a = -1(8x + -3)(6x + -8) + -1(6x + -8)(9x + -9) Reorder the terms: a = -1(-3 + 8x)(6x + -8) + -1(6x + -8)(9x + -9) Reorder the terms: a = -1(-3 + 8x)(-8 + 6x) + -1(6x + -8)(9x + -9) Multiply (-3 + 8x) * (-8 + 6x) a = -1(-3(-8 + 6x) + 8x * (-8 + 6x)) + -1(6x + -8)(9x + -9) a = -1((-8 * -3 + 6x * -3) + 8x * (-8 + 6x)) + -1(6x + -8)(9x + -9) a = -1((24 + -18x) + 8x * (-8 + 6x)) + -1(6x + -8)(9x + -9) a = -1(24 + -18x + (-8 * 8x + 6x * 8x)) + -1(6x + -8)(9x + -9) a = -1(24 + -18x + (-64x + 48x2)) + -1(6x + -8)(9x + -9) Combine like terms: -18x + -64x = -82x a = -1(24 + -82x + 48x2) + -1(6x + -8)(9x + -9) a = (24 * -1 + -82x * -1 + 48x2 * -1) + -1(6x + -8)(9x + -9) a = (-24 + 82x + -48x2) + -1(6x + -8)(9x + -9) Reorder the terms: a = -24 + 82x + -48x2 + -1(-8 + 6x)(9x + -9) Reorder the terms: a = -24 + 82x + -48x2 + -1(-8 + 6x)(-9 + 9x) Multiply (-8 + 6x) * (-9 + 9x) a = -24 + 82x + -48x2 + -1(-8(-9 + 9x) + 6x * (-9 + 9x)) a = -24 + 82x + -48x2 + -1((-9 * -8 + 9x * -8) + 6x * (-9 + 9x)) a = -24 + 82x + -48x2 + -1((72 + -72x) + 6x * (-9 + 9x)) a = -24 + 82x + -48x2 + -1(72 + -72x + (-9 * 6x + 9x * 6x)) a = -24 + 82x + -48x2 + -1(72 + -72x + (-54x + 54x2)) Combine like terms: -72x + -54x = -126x a = -24 + 82x + -48x2 + -1(72 + -126x + 54x2) a = -24 + 82x + -48x2 + (72 * -1 + -126x * -1 + 54x2 * -1) a = -24 + 82x + -48x2 + (-72 + 126x + -54x2) Reorder the terms: a = -24 + -72 + 82x + 126x + -48x2 + -54x2 Combine like terms: -24 + -72 = -96 a = -96 + 82x + 126x + -48x2 + -54x2 Combine like terms: 82x + 126x = 208x a = -96 + 208x + -48x2 + -54x2 Combine like terms: -48x2 + -54x2 = -102x2 a = -96 + 208x + -102x2 Solving a = -96 + 208x + -102x2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Simplifying a = -96 + 208x + -102x2
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