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Simplifying x2 + 4116 = 91x Reorder the terms: 4116 + x2 = 91x Solving 4116 + x2 = 91x Solving for variable 'x'. Reorder the terms: 4116 + -91x + x2 = 91x + -91x Combine like terms: 91x + -91x = 0 4116 + -91x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-4116' to each side of the equation. 4116 + -91x + -4116 + x2 = 0 + -4116 Reorder the terms: 4116 + -4116 + -91x + x2 = 0 + -4116 Combine like terms: 4116 + -4116 = 0 0 + -91x + x2 = 0 + -4116 -91x + x2 = 0 + -4116 Combine like terms: 0 + -4116 = -4116 -91x + x2 = -4116 The x term is -91x. Take half its coefficient (-45.5). Square it (2070.25) and add it to both sides. Add '2070.25' to each side of the equation. -91x + 2070.25 + x2 = -4116 + 2070.25 Reorder the terms: 2070.25 + -91x + x2 = -4116 + 2070.25 Combine like terms: -4116 + 2070.25 = -2045.75 2070.25 + -91x + x2 = -2045.75 Factor a perfect square on the left side: (x + -45.5)(x + -45.5) = -2045.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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