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Simplifying (3a2 + -5d + 17) + -1(-1a2 + 5d + -3) = 0 Reorder the terms: (17 + 3a2 + -5d) + -1(-1a2 + 5d + -3) = 0 Remove parenthesis around (17 + 3a2 + -5d) 17 + 3a2 + -5d + -1(-1a2 + 5d + -3) = 0 Reorder the terms: 17 + 3a2 + -5d + -1(-3 + -1a2 + 5d) = 0 17 + 3a2 + -5d + (-3 * -1 + -1a2 * -1 + 5d * -1) = 0 17 + 3a2 + -5d + (3 + 1a2 + -5d) = 0 Reorder the terms: 17 + 3 + 3a2 + 1a2 + -5d + -5d = 0 Combine like terms: 17 + 3 = 20 20 + 3a2 + 1a2 + -5d + -5d = 0 Combine like terms: 3a2 + 1a2 = 4a2 20 + 4a2 + -5d + -5d = 0 Combine like terms: -5d + -5d = -10d 20 + 4a2 + -10d = 0 Solving 20 + 4a2 + -10d = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + 4a2 + -20 + -10d = 0 + -20 Reorder the terms: 20 + -20 + 4a2 + -10d = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 4a2 + -10d = 0 + -20 4a2 + -10d = 0 + -20 Combine like terms: 0 + -20 = -20 4a2 + -10d = -20 Add '10d' to each side of the equation. 4a2 + -10d + 10d = -20 + 10d Combine like terms: -10d + 10d = 0 4a2 + 0 = -20 + 10d 4a2 = -20 + 10d Divide each side by '4'. a2 = -5 + 2.5d Simplifying a2 = -5 + 2.5d Reorder the terms: 5 + a2 + -2.5d = -5 + 2.5d + 5 + -2.5d Reorder the terms: 5 + a2 + -2.5d = -5 + 5 + 2.5d + -2.5d Combine like terms: -5 + 5 = 0 5 + a2 + -2.5d = 0 + 2.5d + -2.5d 5 + a2 + -2.5d = 2.5d + -2.5d Combine like terms: 2.5d + -2.5d = 0.0 5 + a2 + -2.5d = 0.0 The solution to this equation could not be determined.
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