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Simplifying x2 + 5x + 78 = 4 Reorder the terms: 78 + 5x + x2 = 4 Solving 78 + 5x + x2 = 4 Solving for variable 'x'. Reorder the terms: 78 + -4 + 5x + x2 = 4 + -4 Combine like terms: 78 + -4 = 74 74 + 5x + x2 = 4 + -4 Combine like terms: 4 + -4 = 0 74 + 5x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-74' to each side of the equation. 74 + 5x + -74 + x2 = 0 + -74 Reorder the terms: 74 + -74 + 5x + x2 = 0 + -74 Combine like terms: 74 + -74 = 0 0 + 5x + x2 = 0 + -74 5x + x2 = 0 + -74 Combine like terms: 0 + -74 = -74 5x + x2 = -74 The x term is 5x. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5x + 6.25 + x2 = -74 + 6.25 Reorder the terms: 6.25 + 5x + x2 = -74 + 6.25 Combine like terms: -74 + 6.25 = -67.75 6.25 + 5x + x2 = -67.75 Factor a perfect square on the left side: (x + 2.5)(x + 2.5) = -67.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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