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Simplifying (x + -1)(x + -1) = -16 Reorder the terms: (-1 + x)(x + -1) = -16 Reorder the terms: (-1 + x)(-1 + x) = -16 Multiply (-1 + x) * (-1 + x) (-1(-1 + x) + x(-1 + x)) = -16 ((-1 * -1 + x * -1) + x(-1 + x)) = -16 ((1 + -1x) + x(-1 + x)) = -16 (1 + -1x + (-1 * x + x * x)) = -16 (1 + -1x + (-1x + x2)) = -16 Combine like terms: -1x + -1x = -2x (1 + -2x + x2) = -16 Solving 1 + -2x + x2 = -16 Solving for variable 'x'. Reorder the terms: 1 + 16 + -2x + x2 = -16 + 16 Combine like terms: 1 + 16 = 17 17 + -2x + x2 = -16 + 16 Combine like terms: -16 + 16 = 0 17 + -2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-17' to each side of the equation. 17 + -2x + -17 + x2 = 0 + -17 Reorder the terms: 17 + -17 + -2x + x2 = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -2x + x2 = 0 + -17 -2x + x2 = 0 + -17 Combine like terms: 0 + -17 = -17 -2x + x2 = -17 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 = -17 + 1 Reorder the terms: 1 + -2x + x2 = -17 + 1 Combine like terms: -17 + 1 = -16 1 + -2x + x2 = -16 Factor a perfect square on the left side: (x + -1)(x + -1) = -16 Can't calculate square root of the right side. The solution to this equation could not be determined.
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