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Simplifying 0 = -1x2 + -3x + -8 Reorder the terms: 0 = -8 + -3x + -1x2 Solving 0 = -8 + -3x + -1x2 Solving for variable 'x'. Combine like terms: 0 + 8 = 8 8 + 3x + x2 = -8 + -3x + -1x2 + 8 + 3x + x2 Reorder the terms: 8 + 3x + x2 = -8 + 8 + -3x + 3x + -1x2 + x2 Combine like terms: -8 + 8 = 0 8 + 3x + x2 = 0 + -3x + 3x + -1x2 + x2 8 + 3x + x2 = -3x + 3x + -1x2 + x2 Combine like terms: -3x + 3x = 0 8 + 3x + x2 = 0 + -1x2 + x2 8 + 3x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 8 + 3x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-8' to each side of the equation. 8 + 3x + -8 + x2 = 0 + -8 Reorder the terms: 8 + -8 + 3x + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3x + x2 = 0 + -8 3x + x2 = 0 + -8 Combine like terms: 0 + -8 = -8 3x + x2 = -8 The x term is 3x. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3x + 2.25 + x2 = -8 + 2.25 Reorder the terms: 2.25 + 3x + x2 = -8 + 2.25 Combine like terms: -8 + 2.25 = -5.75 2.25 + 3x + x2 = -5.75 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = -5.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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