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Simplifying (3x2 + 5x + 7) + (-5x + 14) = 0 Reorder the terms: (7 + 5x + 3x2) + (-5x + 14) = 0 Remove parenthesis around (7 + 5x + 3x2) 7 + 5x + 3x2 + (-5x + 14) = 0 Reorder the terms: 7 + 5x + 3x2 + (14 + -5x) = 0 Remove parenthesis around (14 + -5x) 7 + 5x + 3x2 + 14 + -5x = 0 Reorder the terms: 7 + 14 + 5x + -5x + 3x2 = 0 Combine like terms: 7 + 14 = 21 21 + 5x + -5x + 3x2 = 0 Combine like terms: 5x + -5x = 0 21 + 0 + 3x2 = 0 21 + 3x2 = 0 Solving 21 + 3x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 3x2 = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 3x2 = 0 + -21 3x2 = 0 + -21 Combine like terms: 0 + -21 = -21 3x2 = -21 Divide each side by '3'. x2 = -7 Simplifying x2 = -7 Reorder the terms: 7 + x2 = -7 + 7 Combine like terms: -7 + 7 = 0 7 + x2 = 0 The solution to this equation could not be determined.
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