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Simplifying -1x2 + 6x + -8 = 3x + 7 Reorder the terms: -8 + 6x + -1x2 = 3x + 7 Reorder the terms: -8 + 6x + -1x2 = 7 + 3x Solving -8 + 6x + -1x2 = 7 + 3x Solving for variable 'x'. Reorder the terms: -8 + -7 + 6x + -3x + -1x2 = 7 + 3x + -7 + -3x Combine like terms: -8 + -7 = -15 -15 + 6x + -3x + -1x2 = 7 + 3x + -7 + -3x Combine like terms: 6x + -3x = 3x -15 + 3x + -1x2 = 7 + 3x + -7 + -3x Reorder the terms: -15 + 3x + -1x2 = 7 + -7 + 3x + -3x Combine like terms: 7 + -7 = 0 -15 + 3x + -1x2 = 0 + 3x + -3x -15 + 3x + -1x2 = 3x + -3x Combine like terms: 3x + -3x = 0 -15 + 3x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 15 + -3x + x2 = 0 Move the constant term to the right: Add '-15' to each side of the equation. 15 + -3x + -15 + x2 = 0 + -15 Reorder the terms: 15 + -15 + -3x + x2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -3x + x2 = 0 + -15 -3x + x2 = 0 + -15 Combine like terms: 0 + -15 = -15 -3x + x2 = -15 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 = -15 + 2.25 Reorder the terms: 2.25 + -3x + x2 = -15 + 2.25 Combine like terms: -15 + 2.25 = -12.75 2.25 + -3x + x2 = -12.75 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = -12.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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