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Simplifying (2a2 + b2 + -1x + d) + (3b2 + c + -1a2) + (c + -2d + a2 + -4b2) = 0 Reorder the terms: (2a2 + b2 + d + -1x) + (3b2 + c + -1a2) + (c + -2d + a2 + -4b2) = 0 Remove parenthesis around (2a2 + b2 + d + -1x) 2a2 + b2 + d + -1x + (3b2 + c + -1a2) + (c + -2d + a2 + -4b2) = 0 Reorder the terms: 2a2 + b2 + d + -1x + (-1a2 + 3b2 + c) + (c + -2d + a2 + -4b2) = 0 Remove parenthesis around (-1a2 + 3b2 + c) 2a2 + b2 + d + -1x + -1a2 + 3b2 + c + (c + -2d + a2 + -4b2) = 0 Reorder the terms: 2a2 + b2 + d + -1x + -1a2 + 3b2 + c + (a2 + -4b2 + c + -2d) = 0 Remove parenthesis around (a2 + -4b2 + c + -2d) 2a2 + b2 + d + -1x + -1a2 + 3b2 + c + a2 + -4b2 + c + -2d = 0 Reorder the terms: 2a2 + -1a2 + a2 + b2 + 3b2 + -4b2 + c + c + d + -2d + -1x = 0 Combine like terms: 2a2 + -1a2 = 1a2 1a2 + a2 + b2 + 3b2 + -4b2 + c + c + d + -2d + -1x = 0 Combine like terms: 1a2 + a2 = 2a2 2a2 + b2 + 3b2 + -4b2 + c + c + d + -2d + -1x = 0 Combine like terms: b2 + 3b2 = 4b2 2a2 + 4b2 + -4b2 + c + c + d + -2d + -1x = 0 Combine like terms: 4b2 + -4b2 = 0 2a2 + 0 + c + c + d + -2d + -1x = 0 2a2 + c + c + d + -2d + -1x = 0 Combine like terms: c + c = 2c 2a2 + 2c + d + -2d + -1x = 0 Combine like terms: d + -2d = -1d 2a2 + 2c + -1d + -1x = 0 Solving 2a2 + 2c + -1d + -1x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2c' to each side of the equation. 2a2 + 2c + -1d + -2c + -1x = 0 + -2c Reorder the terms: 2a2 + 2c + -2c + -1d + -1x = 0 + -2c Combine like terms: 2c + -2c = 0 2a2 + 0 + -1d + -1x = 0 + -2c 2a2 + -1d + -1x = 0 + -2c Remove the zero: 2a2 + -1d + -1x = -2c Add 'd' to each side of the equation. 2a2 + -1d + d + -1x = -2c + d Combine like terms: -1d + d = 0 2a2 + 0 + -1x = -2c + d 2a2 + -1x = -2c + d Add 'x' to each side of the equation. 2a2 + -1x + x = -2c + d + x Combine like terms: -1x + x = 0 2a2 + 0 = -2c + d + x 2a2 = -2c + d + x Divide each side by '2'. a2 = -1c + 0.5d + 0.5x Simplifying a2 = -1c + 0.5d + 0.5x Reorder the terms: a2 + c + -0.5d + -0.5x = -1c + c + 0.5d + -0.5d + 0.5x + -0.5x Combine like terms: -1c + c = 0 a2 + c + -0.5d + -0.5x = 0 + 0.5d + -0.5d + 0.5x + -0.5x a2 + c + -0.5d + -0.5x = 0.5d + -0.5d + 0.5x + -0.5x Combine like terms: 0.5d + -0.5d = 0.0 a2 + c + -0.5d + -0.5x = 0.0 + 0.5x + -0.5x a2 + c + -0.5d + -0.5x = 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 a2 + c + -0.5d + -0.5x = 0.0 The solution to this equation could not be determined.
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