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Simplifying (x + -8) = (5x2 + -7x + -1) Reorder the terms: (-8 + x) = (5x2 + -7x + -1) Remove parenthesis around (-8 + x) -8 + x = (5x2 + -7x + -1) Reorder the terms: -8 + x = (-1 + -7x + 5x2) Remove parenthesis around (-1 + -7x + 5x2) -8 + x = -1 + -7x + 5x2 Solving -8 + x = -1 + -7x + 5x2 Solving for variable 'x'. Reorder the terms: -8 + 1 + x + 7x + -5x2 = -1 + -7x + 5x2 + 1 + 7x + -5x2 Combine like terms: -8 + 1 = -7 -7 + x + 7x + -5x2 = -1 + -7x + 5x2 + 1 + 7x + -5x2 Combine like terms: x + 7x = 8x -7 + 8x + -5x2 = -1 + -7x + 5x2 + 1 + 7x + -5x2 Reorder the terms: -7 + 8x + -5x2 = -1 + 1 + -7x + 7x + 5x2 + -5x2 Combine like terms: -1 + 1 = 0 -7 + 8x + -5x2 = 0 + -7x + 7x + 5x2 + -5x2 -7 + 8x + -5x2 = -7x + 7x + 5x2 + -5x2 Combine like terms: -7x + 7x = 0 -7 + 8x + -5x2 = 0 + 5x2 + -5x2 -7 + 8x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -7 + 8x + -5x2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 1.4 + -1.6x + x2 = 0 Move the constant term to the right: Add '-1.4' to each side of the equation. 1.4 + -1.6x + -1.4 + x2 = 0 + -1.4 Reorder the terms: 1.4 + -1.4 + -1.6x + x2 = 0 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + -1.6x + x2 = 0 + -1.4 -1.6x + x2 = 0 + -1.4 Combine like terms: 0 + -1.4 = -1.4 -1.6x + x2 = -1.4 The x term is -1.6x. Take half its coefficient (-0.8). Square it (0.64) and add it to both sides. Add '0.64' to each side of the equation. -1.6x + 0.64 + x2 = -1.4 + 0.64 Reorder the terms: 0.64 + -1.6x + x2 = -1.4 + 0.64 Combine like terms: -1.4 + 0.64 = -0.76 0.64 + -1.6x + x2 = -0.76 Factor a perfect square on the left side: (x + -0.8)(x + -0.8) = -0.76 Can't calculate square root of the right side. The solution to this equation could not be determined.
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