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Simplifying X2 + 10X = -89 Reorder the terms: 10X + X2 = -89 Solving 10X + X2 = -89 Solving for variable 'X'. Reorder the terms: 89 + 10X + X2 = -89 + 89 Combine like terms: -89 + 89 = 0 89 + 10X + X2 = 0 Begin completing the square. Move the constant term to the right: Add '-89' to each side of the equation. 89 + 10X + -89 + X2 = 0 + -89 Reorder the terms: 89 + -89 + 10X + X2 = 0 + -89 Combine like terms: 89 + -89 = 0 0 + 10X + X2 = 0 + -89 10X + X2 = 0 + -89 Combine like terms: 0 + -89 = -89 10X + X2 = -89 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 = -89 + 25 Reorder the terms: 25 + 10X + X2 = -89 + 25 Combine like terms: -89 + 25 = -64 25 + 10X + X2 = -64 Factor a perfect square on the left side: (X + 5)(X + 5) = -64 Can't calculate square root of the right side. The solution to this equation could not be determined.
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