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Simplifying (x + 3)(x + a)(x + 7) = x2 + 15x + 71x + 105finda Reorder the terms: (3 + x)(x + a)(x + 7) = x2 + 15x + 71x + 105finda Reorder the terms: (3 + x)(a + x)(x + 7) = x2 + 15x + 71x + 105finda Reorder the terms: (3 + x)(a + x)(7 + x) = x2 + 15x + 71x + 105finda Multiply (3 + x) * (a + x) (3(a + x) + x(a + x))(7 + x) = x2 + 15x + 71x + 105finda ((a * 3 + x * 3) + x(a + x))(7 + x) = x2 + 15x + 71x + 105finda ((3a + 3x) + x(a + x))(7 + x) = x2 + 15x + 71x + 105finda (3a + 3x + (a * x + x * x))(7 + x) = x2 + 15x + 71x + 105finda (3a + 3x + (ax + x2))(7 + x) = x2 + 15x + 71x + 105finda Reorder the terms: (3a + ax + 3x + x2)(7 + x) = x2 + 15x + 71x + 105finda (3a + ax + 3x + x2)(7 + x) = x2 + 15x + 71x + 105finda Multiply (3a + ax + 3x + x2) * (7 + x) (3a * (7 + x) + ax(7 + x) + 3x * (7 + x) + x2(7 + x)) = x2 + 15x + 71x + 105finda ((7 * 3a + x * 3a) + ax(7 + x) + 3x * (7 + x) + x2(7 + x)) = x2 + 15x + 71x + 105finda ((21a + 3ax) + ax(7 + x) + 3x * (7 + x) + x2(7 + x)) = x2 + 15x + 71x + 105finda (21a + 3ax + (7 * ax + x * ax) + 3x * (7 + x) + x2(7 + x)) = x2 + 15x + 71x + 105finda (21a + 3ax + (7ax + ax2) + 3x * (7 + x) + x2(7 + x)) = x2 + 15x + 71x + 105finda (21a + 3ax + 7ax + ax2 + (7 * 3x + x * 3x) + x2(7 + x)) = x2 + 15x + 71x + 105finda (21a + 3ax + 7ax + ax2 + (21x + 3x2) + x2(7 + x)) = x2 + 15x + 71x + 105finda (21a + 3ax + 7ax + ax2 + 21x + 3x2 + (7 * x2 + x * x2)) = x2 + 15x + 71x + 105finda (21a + 3ax + 7ax + ax2 + 21x + 3x2 + (7x2 + x3)) = x2 + 15x + 71x + 105finda Combine like terms: 3ax + 7ax = 10ax (21a + 10ax + ax2 + 21x + 3x2 + 7x2 + x3) = x2 + 15x + 71x + 105finda Combine like terms: 3x2 + 7x2 = 10x2 (21a + 10ax + ax2 + 21x + 10x2 + x3) = x2 + 15x + 71x + 105finda Reorder the terms: 21a + 10ax + ax2 + 21x + 10x2 + x3 = 105adfin + 15x + 71x + x2 Combine like terms: 15x + 71x = 86x 21a + 10ax + ax2 + 21x + 10x2 + x3 = 105adfin + 86x + x2 Solving 21a + 10ax + ax2 + 21x + 10x2 + x3 = 105adfin + 86x + x2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-105adfin' to each side of the equation. 21a + 10ax + ax2 + 21x + 10x2 + -105adfin + x3 = 105adfin + 86x + -105adfin + x2 Reorder the terms: 21a + -105adfin + 10ax + ax2 + 21x + 10x2 + x3 = 105adfin + 86x + -105adfin + x2 Reorder the terms: 21a + -105adfin + 10ax + ax2 + 21x + 10x2 + x3 = 105adfin + -105adfin + 86x + x2 Combine like terms: 105adfin + -105adfin = 0 21a + -105adfin + 10ax + ax2 + 21x + 10x2 + x3 = 0 + 86x + x2 21a + -105adfin + 10ax + ax2 + 21x + 10x2 + x3 = 86x + x2 Add '-21x' to each side of the equation. 21a + -105adfin + 10ax + ax2 + 21x + 10x2 + -21x + x3 = 86x + -21x + x2 Reorder the terms: 21a + -105adfin + 10ax + ax2 + 21x + -21x + 10x2 + x3 = 86x + -21x + x2 Combine like terms: 21x + -21x = 0 21a + -105adfin + 10ax + ax2 + 0 + 10x2 + x3 = 86x + -21x + x2 21a + -105adfin + 10ax + ax2 + 10x2 + x3 = 86x + -21x + x2 Combine like terms: 86x + -21x = 65x 21a + -105adfin + 10ax + ax2 + 10x2 + x3 = 65x + x2 Add '-10x2' to each side of the equation. 21a + -105adfin + 10ax + ax2 + 10x2 + -10x2 + x3 = 65x + x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 21a + -105adfin + 10ax + ax2 + 0 + x3 = 65x + x2 + -10x2 21a + -105adfin + 10ax + ax2 + x3 = 65x + x2 + -10x2 Combine like terms: x2 + -10x2 = -9x2 21a + -105adfin + 10ax + ax2 + x3 = 65x + -9x2 Add '-1x3' to each side of the equation. 21a + -105adfin + 10ax + ax2 + x3 + -1x3 = 65x + -9x2 + -1x3 Combine like terms: x3 + -1x3 = 0 21a + -105adfin + 10ax + ax2 + 0 = 65x + -9x2 + -1x3 21a + -105adfin + 10ax + ax2 = 65x + -9x2 + -1x3 Reorder the terms: 21a + -105adfin + 10ax + ax2 + -65x + 9x2 + x3 = 65x + -65x + -9x2 + 9x2 + -1x3 + x3 Combine like terms: 65x + -65x = 0 21a + -105adfin + 10ax + ax2 + -65x + 9x2 + x3 = 0 + -9x2 + 9x2 + -1x3 + x3 21a + -105adfin + 10ax + ax2 + -65x + 9x2 + x3 = -9x2 + 9x2 + -1x3 + x3 Combine like terms: -9x2 + 9x2 = 0 21a + -105adfin + 10ax + ax2 + -65x + 9x2 + x3 = 0 + -1x3 + x3 21a + -105adfin + 10ax + ax2 + -65x + 9x2 + x3 = -1x3 + x3 Combine like terms: -1x3 + x3 = 0 21a + -105adfin + 10ax + ax2 + -65x + 9x2 + x3 = 0 The solution to this equation could not be determined.
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