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Simplifying (x + -1)(x + 3) = -8 Reorder the terms: (-1 + x)(x + 3) = -8 Reorder the terms: (-1 + x)(3 + x) = -8 Multiply (-1 + x) * (3 + x) (-1(3 + x) + x(3 + x)) = -8 ((3 * -1 + x * -1) + x(3 + x)) = -8 ((-3 + -1x) + x(3 + x)) = -8 (-3 + -1x + (3 * x + x * x)) = -8 (-3 + -1x + (3x + x2)) = -8 Combine like terms: -1x + 3x = 2x (-3 + 2x + x2) = -8 Solving -3 + 2x + x2 = -8 Solving for variable 'x'. Reorder the terms: -3 + 8 + 2x + x2 = -8 + 8 Combine like terms: -3 + 8 = 5 5 + 2x + x2 = -8 + 8 Combine like terms: -8 + 8 = 0 5 + 2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-5' to each side of the equation. 5 + 2x + -5 + x2 = 0 + -5 Reorder the terms: 5 + -5 + 2x + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x + x2 = 0 + -5 2x + x2 = 0 + -5 Combine like terms: 0 + -5 = -5 2x + x2 = -5 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 = -5 + 1 Reorder the terms: 1 + 2x + x2 = -5 + 1 Combine like terms: -5 + 1 = -4 1 + 2x + x2 = -4 Factor a perfect square on the left side: (x + 1)(x + 1) = -4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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