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Simplifying x2 + 6x + 9 = -1 Reorder the terms: 9 + 6x + x2 = -1 Solving 9 + 6x + x2 = -1 Solving for variable 'x'. Reorder the terms: 9 + 1 + 6x + x2 = -1 + 1 Combine like terms: 9 + 1 = 10 10 + 6x + x2 = -1 + 1 Combine like terms: -1 + 1 = 0 10 + 6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + 6x + -10 + x2 = 0 + -10 Reorder the terms: 10 + -10 + 6x + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 6x + x2 = 0 + -10 6x + x2 = 0 + -10 Combine like terms: 0 + -10 = -10 6x + x2 = -10 The x term is 6x. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6x + 9 + x2 = -10 + 9 Reorder the terms: 9 + 6x + x2 = -10 + 9 Combine like terms: -10 + 9 = -1 9 + 6x + x2 = -1 Factor a perfect square on the left side: (x + 3)(x + 3) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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