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Simplifying x(x + 7) = -21 Reorder the terms: x(7 + x) = -21 (7 * x + x * x) = -21 (7x + x2) = -21 Solving 7x + x2 = -21 Solving for variable 'x'. Reorder the terms: 21 + 7x + x2 = -21 + 21 Combine like terms: -21 + 21 = 0 21 + 7x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-21' to each side of the equation. 21 + 7x + -21 + x2 = 0 + -21 Reorder the terms: 21 + -21 + 7x + x2 = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 7x + x2 = 0 + -21 7x + x2 = 0 + -21 Combine like terms: 0 + -21 = -21 7x + x2 = -21 The x term is 7x. Take half its coefficient (3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. 7x + 12.25 + x2 = -21 + 12.25 Reorder the terms: 12.25 + 7x + x2 = -21 + 12.25 Combine like terms: -21 + 12.25 = -8.75 12.25 + 7x + x2 = -8.75 Factor a perfect square on the left side: (x + 3.5)(x + 3.5) = -8.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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