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Simplifying x2 + 4x + 2 = -12 Reorder the terms: 2 + 4x + x2 = -12 Solving 2 + 4x + x2 = -12 Solving for variable 'x'. Reorder the terms: 2 + 12 + 4x + x2 = -12 + 12 Combine like terms: 2 + 12 = 14 14 + 4x + x2 = -12 + 12 Combine like terms: -12 + 12 = 0 14 + 4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-14' to each side of the equation. 14 + 4x + -14 + x2 = 0 + -14 Reorder the terms: 14 + -14 + 4x + x2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 4x + x2 = 0 + -14 4x + x2 = 0 + -14 Combine like terms: 0 + -14 = -14 4x + x2 = -14 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = -14 + 4 Reorder the terms: 4 + 4x + x2 = -14 + 4 Combine like terms: -14 + 4 = -10 4 + 4x + x2 = -10 Factor a perfect square on the left side: (x + 2)(x + 2) = -10 Can't calculate square root of the right side. The solution to this equation could not be determined.
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