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Simplifying 2x2 + -30x + -1cx + -108 + -3c = 0 Reorder the terms: -108 + -3c + -1cx + -30x + 2x2 = 0 Solving -108 + -3c + -1cx + -30x + 2x2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '108' to each side of the equation. -108 + -3c + -1cx + -30x + 108 + 2x2 = 0 + 108 Reorder the terms: -108 + 108 + -3c + -1cx + -30x + 2x2 = 0 + 108 Combine like terms: -108 + 108 = 0 0 + -3c + -1cx + -30x + 2x2 = 0 + 108 -3c + -1cx + -30x + 2x2 = 0 + 108 Combine like terms: 0 + 108 = 108 -3c + -1cx + -30x + 2x2 = 108 Add '30x' to each side of the equation. -3c + -1cx + -30x + 30x + 2x2 = 108 + 30x Combine like terms: -30x + 30x = 0 -3c + -1cx + 0 + 2x2 = 108 + 30x -3c + -1cx + 2x2 = 108 + 30x Add '-2x2' to each side of the equation. -3c + -1cx + 2x2 + -2x2 = 108 + 30x + -2x2 Combine like terms: 2x2 + -2x2 = 0 -3c + -1cx + 0 = 108 + 30x + -2x2 -3c + -1cx = 108 + 30x + -2x2 Reorder the terms: -108 + -3c + -1cx + -30x + 2x2 = 108 + 30x + -2x2 + -108 + -30x + 2x2 Reorder the terms: -108 + -3c + -1cx + -30x + 2x2 = 108 + -108 + 30x + -30x + -2x2 + 2x2 Combine like terms: 108 + -108 = 0 -108 + -3c + -1cx + -30x + 2x2 = 0 + 30x + -30x + -2x2 + 2x2 -108 + -3c + -1cx + -30x + 2x2 = 30x + -30x + -2x2 + 2x2 Combine like terms: 30x + -30x = 0 -108 + -3c + -1cx + -30x + 2x2 = 0 + -2x2 + 2x2 -108 + -3c + -1cx + -30x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 -108 + -3c + -1cx + -30x + 2x2 = 0 The solution to this equation could not be determined.
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