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Simplifying x2 + 2x + 70 = -4 Reorder the terms: 70 + 2x + x2 = -4 Solving 70 + 2x + x2 = -4 Solving for variable 'x'. Reorder the terms: 70 + 4 + 2x + x2 = -4 + 4 Combine like terms: 70 + 4 = 74 74 + 2x + x2 = -4 + 4 Combine like terms: -4 + 4 = 0 74 + 2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-74' to each side of the equation. 74 + 2x + -74 + x2 = 0 + -74 Reorder the terms: 74 + -74 + 2x + x2 = 0 + -74 Combine like terms: 74 + -74 = 0 0 + 2x + x2 = 0 + -74 2x + x2 = 0 + -74 Combine like terms: 0 + -74 = -74 2x + x2 = -74 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = -74 + 1 Reorder the terms: 1 + 2x + x2 = -74 + 1 Combine like terms: -74 + 1 = -73 1 + 2x + x2 = -73 Factor a perfect square on the left side: (x + 1)(x + 1) = -73 Can't calculate square root of the right side. The solution to this equation could not be determined.
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