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Simplifying x2 + 4x + 47 = 0 Reorder the terms: 47 + 4x + x2 = 0 Solving 47 + 4x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-47' to each side of the equation. 47 + 4x + -47 + x2 = 0 + -47 Reorder the terms: 47 + -47 + 4x + x2 = 0 + -47 Combine like terms: 47 + -47 = 0 0 + 4x + x2 = 0 + -47 4x + x2 = 0 + -47 Combine like terms: 0 + -47 = -47 4x + x2 = -47 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 = -47 + 4 Reorder the terms: 4 + 4x + x2 = -47 + 4 Combine like terms: -47 + 4 = -43 4 + 4x + x2 = -43 Factor a perfect square on the left side: (x + 2)(x + 2) = -43 Can't calculate square root of the right side. The solution to this equation could not be determined.
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