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Simplifying (x + 1)(x + 1) = -6 Reorder the terms: (1 + x)(x + 1) = -6 Reorder the terms: (1 + x)(1 + x) = -6 Multiply (1 + x) * (1 + x) (1(1 + x) + x(1 + x)) = -6 ((1 * 1 + x * 1) + x(1 + x)) = -6 ((1 + 1x) + x(1 + x)) = -6 (1 + 1x + (1 * x + x * x)) = -6 (1 + 1x + (1x + x2)) = -6 Combine like terms: 1x + 1x = 2x (1 + 2x + x2) = -6 Solving 1 + 2x + x2 = -6 Solving for variable 'x'. Reorder the terms: 1 + 6 + 2x + x2 = -6 + 6 Combine like terms: 1 + 6 = 7 7 + 2x + x2 = -6 + 6 Combine like terms: -6 + 6 = 0 7 + 2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-7' to each side of the equation. 7 + 2x + -7 + x2 = 0 + -7 Reorder the terms: 7 + -7 + 2x + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2x + x2 = 0 + -7 2x + x2 = 0 + -7 Combine like terms: 0 + -7 = -7 2x + x2 = -7 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 = -7 + 1 Reorder the terms: 1 + 2x + x2 = -7 + 1 Combine like terms: -7 + 1 = -6 1 + 2x + x2 = -6 Factor a perfect square on the left side: (x + 1)(x + 1) = -6 Can't calculate square root of the right side. The solution to this equation could not be determined.
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