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Simplifying (x + 8)(x + -1) = -21 Reorder the terms: (8 + x)(x + -1) = -21 Reorder the terms: (8 + x)(-1 + x) = -21 Multiply (8 + x) * (-1 + x) (8(-1 + x) + x(-1 + x)) = -21 ((-1 * 8 + x * 8) + x(-1 + x)) = -21 ((-8 + 8x) + x(-1 + x)) = -21 (-8 + 8x + (-1 * x + x * x)) = -21 (-8 + 8x + (-1x + x2)) = -21 Combine like terms: 8x + -1x = 7x (-8 + 7x + x2) = -21 Solving -8 + 7x + x2 = -21 Solving for variable 'x'. Reorder the terms: -8 + 21 + 7x + x2 = -21 + 21 Combine like terms: -8 + 21 = 13 13 + 7x + x2 = -21 + 21 Combine like terms: -21 + 21 = 0 13 + 7x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-13' to each side of the equation. 13 + 7x + -13 + x2 = 0 + -13 Reorder the terms: 13 + -13 + 7x + x2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 7x + x2 = 0 + -13 7x + x2 = 0 + -13 Combine like terms: 0 + -13 = -13 7x + x2 = -13 The x term is 7x. Take half its coefficient (3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. 7x + 12.25 + x2 = -13 + 12.25 Reorder the terms: 12.25 + 7x + x2 = -13 + 12.25 Combine like terms: -13 + 12.25 = -0.75 12.25 + 7x + x2 = -0.75 Factor a perfect square on the left side: (x + 3.5)(x + 3.5) = -0.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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