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Simplifying x2 + 13x + 66 = 0 Reorder the terms: 66 + 13x + x2 = 0 Solving 66 + 13x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-66' to each side of the equation. 66 + 13x + -66 + x2 = 0 + -66 Reorder the terms: 66 + -66 + 13x + x2 = 0 + -66 Combine like terms: 66 + -66 = 0 0 + 13x + x2 = 0 + -66 13x + x2 = 0 + -66 Combine like terms: 0 + -66 = -66 13x + x2 = -66 The x term is 13x. Take half its coefficient (6.5). Square it (42.25) and add it to both sides. Add '42.25' to each side of the equation. 13x + 42.25 + x2 = -66 + 42.25 Reorder the terms: 42.25 + 13x + x2 = -66 + 42.25 Combine like terms: -66 + 42.25 = -23.75 42.25 + 13x + x2 = -23.75 Factor a perfect square on the left side: (x + 6.5)(x + 6.5) = -23.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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