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Simplifying -2x2 + 7x + 30 = 50 Reorder the terms: 30 + 7x + -2x2 = 50 Solving 30 + 7x + -2x2 = 50 Solving for variable 'x'. Reorder the terms: 30 + -50 + 7x + -2x2 = 50 + -50 Combine like terms: 30 + -50 = -20 -20 + 7x + -2x2 = 50 + -50 Combine like terms: 50 + -50 = 0 -20 + 7x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 10 + -3.5x + x2 = 0 Move the constant term to the right: Add '-10' to each side of the equation. 10 + -3.5x + -10 + x2 = 0 + -10 Reorder the terms: 10 + -10 + -3.5x + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3.5x + x2 = 0 + -10 -3.5x + x2 = 0 + -10 Combine like terms: 0 + -10 = -10 -3.5x + x2 = -10 The x term is -3.5x. Take half its coefficient (-1.75). Square it (3.0625) and add it to both sides. Add '3.0625' to each side of the equation. -3.5x + 3.0625 + x2 = -10 + 3.0625 Reorder the terms: 3.0625 + -3.5x + x2 = -10 + 3.0625 Combine like terms: -10 + 3.0625 = -6.9375 3.0625 + -3.5x + x2 = -6.9375 Factor a perfect square on the left side: (x + -1.75)(x + -1.75) = -6.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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