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Simplifying x2 + 75 = -10x Reorder the terms: 75 + x2 = -10x Solving 75 + x2 = -10x Solving for variable 'x'. Reorder the terms: 75 + 10x + x2 = -10x + 10x Combine like terms: -10x + 10x = 0 75 + 10x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-75' to each side of the equation. 75 + 10x + -75 + x2 = 0 + -75 Reorder the terms: 75 + -75 + 10x + x2 = 0 + -75 Combine like terms: 75 + -75 = 0 0 + 10x + x2 = 0 + -75 10x + x2 = 0 + -75 Combine like terms: 0 + -75 = -75 10x + x2 = -75 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 = -75 + 25 Reorder the terms: 25 + 10x + x2 = -75 + 25 Combine like terms: -75 + 25 = -50 25 + 10x + x2 = -50 Factor a perfect square on the left side: (x + 5)(x + 5) = -50 Can't calculate square root of the right side. The solution to this equation could not be determined.
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