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Simplifying 24 = 7x + -2x2 Solving 24 = 7x + -2x2 Solving for variable 'x'. Reorder the terms: 24 + -7x + 2x2 = 7x + -7x + -2x2 + 2x2 Combine like terms: 7x + -7x = 0 24 + -7x + 2x2 = 0 + -2x2 + 2x2 24 + -7x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 24 + -7x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 12 + -3.5x + x2 = 0 Move the constant term to the right: Add '-12' to each side of the equation. 12 + -3.5x + -12 + x2 = 0 + -12 Reorder the terms: 12 + -12 + -3.5x + x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -3.5x + x2 = 0 + -12 -3.5x + x2 = 0 + -12 Combine like terms: 0 + -12 = -12 -3.5x + x2 = -12 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 = -12 + 3.0625 Reorder the terms: 3.0625 + -3.5x + x2 = -12 + 3.0625 Combine like terms: -12 + 3.0625 = -8.9375 3.0625 + -3.5x + x2 = -8.9375 Factor a perfect square on the left side: (x + -1.75)(x + -1.75) = -8.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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