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Simplifying x(x + 10) = -73 Reorder the terms: x(10 + x) = -73 (10 * x + x * x) = -73 (10x + x2) = -73 Solving 10x + x2 = -73 Solving for variable 'x'. Reorder the terms: 73 + 10x + x2 = -73 + 73 Combine like terms: -73 + 73 = 0 73 + 10x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-73' to each side of the equation. 73 + 10x + -73 + x2 = 0 + -73 Reorder the terms: 73 + -73 + 10x + x2 = 0 + -73 Combine like terms: 73 + -73 = 0 0 + 10x + x2 = 0 + -73 10x + x2 = 0 + -73 Combine like terms: 0 + -73 = -73 10x + x2 = -73 The x term is 10x. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10x + 25 + x2 = -73 + 25 Reorder the terms: 25 + 10x + x2 = -73 + 25 Combine like terms: -73 + 25 = -48 25 + 10x + x2 = -48 Factor a perfect square on the left side: (x + 5)(x + 5) = -48 Can't calculate square root of the right side. The solution to this equation could not be determined.
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