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Simplifying a = (9x + 2)(9x + 2) + (10x + -2)(10x + -2) Reorder the terms: a = (2 + 9x)(9x + 2) + (10x + -2)(10x + -2) Reorder the terms: a = (2 + 9x)(2 + 9x) + (10x + -2)(10x + -2) Multiply (2 + 9x) * (2 + 9x) a = (2(2 + 9x) + 9x * (2 + 9x)) + (10x + -2)(10x + -2) a = ((2 * 2 + 9x * 2) + 9x * (2 + 9x)) + (10x + -2)(10x + -2) a = ((4 + 18x) + 9x * (2 + 9x)) + (10x + -2)(10x + -2) a = (4 + 18x + (2 * 9x + 9x * 9x)) + (10x + -2)(10x + -2) a = (4 + 18x + (18x + 81x2)) + (10x + -2)(10x + -2) Combine like terms: 18x + 18x = 36x a = (4 + 36x + 81x2) + (10x + -2)(10x + -2) Reorder the terms: a = 4 + 36x + 81x2 + (-2 + 10x)(10x + -2) Reorder the terms: a = 4 + 36x + 81x2 + (-2 + 10x)(-2 + 10x) Multiply (-2 + 10x) * (-2 + 10x) a = 4 + 36x + 81x2 + (-2(-2 + 10x) + 10x * (-2 + 10x)) a = 4 + 36x + 81x2 + ((-2 * -2 + 10x * -2) + 10x * (-2 + 10x)) a = 4 + 36x + 81x2 + ((4 + -20x) + 10x * (-2 + 10x)) a = 4 + 36x + 81x2 + (4 + -20x + (-2 * 10x + 10x * 10x)) a = 4 + 36x + 81x2 + (4 + -20x + (-20x + 100x2)) Combine like terms: -20x + -20x = -40x a = 4 + 36x + 81x2 + (4 + -40x + 100x2) Reorder the terms: a = 4 + 4 + 36x + -40x + 81x2 + 100x2 Combine like terms: 4 + 4 = 8 a = 8 + 36x + -40x + 81x2 + 100x2 Combine like terms: 36x + -40x = -4x a = 8 + -4x + 81x2 + 100x2 Combine like terms: 81x2 + 100x2 = 181x2 a = 8 + -4x + 181x2 Solving a = 8 + -4x + 181x2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Simplifying a = 8 + -4x + 181x2
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