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Simplifying -5x + 23 = -1x2 + -8x + -15 Reorder the terms: 23 + -5x = -1x2 + -8x + -15 Reorder the terms: 23 + -5x = -15 + -8x + -1x2 Solving 23 + -5x = -15 + -8x + -1x2 Solving for variable 'x'. Reorder the terms: 23 + 15 + -5x + 8x + x2 = -15 + -8x + -1x2 + 15 + 8x + x2 Combine like terms: 23 + 15 = 38 38 + -5x + 8x + x2 = -15 + -8x + -1x2 + 15 + 8x + x2 Combine like terms: -5x + 8x = 3x 38 + 3x + x2 = -15 + -8x + -1x2 + 15 + 8x + x2 Reorder the terms: 38 + 3x + x2 = -15 + 15 + -8x + 8x + -1x2 + x2 Combine like terms: -15 + 15 = 0 38 + 3x + x2 = 0 + -8x + 8x + -1x2 + x2 38 + 3x + x2 = -8x + 8x + -1x2 + x2 Combine like terms: -8x + 8x = 0 38 + 3x + x2 = 0 + -1x2 + x2 38 + 3x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 38 + 3x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-38' to each side of the equation. 38 + 3x + -38 + x2 = 0 + -38 Reorder the terms: 38 + -38 + 3x + x2 = 0 + -38 Combine like terms: 38 + -38 = 0 0 + 3x + x2 = 0 + -38 3x + x2 = 0 + -38 Combine like terms: 0 + -38 = -38 3x + x2 = -38 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 = -38 + 2.25 Reorder the terms: 2.25 + 3x + x2 = -38 + 2.25 Combine like terms: -38 + 2.25 = -35.75 2.25 + 3x + x2 = -35.75 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = -35.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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