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Simplifying (7x2 + -8x + -1) + (2x2 + -3x + 7) + -1(x2 + -3x + -5) = 0 Reorder the terms: (-1 + -8x + 7x2) + (2x2 + -3x + 7) + -1(x2 + -3x + -5) = 0 Remove parenthesis around (-1 + -8x + 7x2) -1 + -8x + 7x2 + (2x2 + -3x + 7) + -1(x2 + -3x + -5) = 0 Reorder the terms: -1 + -8x + 7x2 + (7 + -3x + 2x2) + -1(x2 + -3x + -5) = 0 Remove parenthesis around (7 + -3x + 2x2) -1 + -8x + 7x2 + 7 + -3x + 2x2 + -1(x2 + -3x + -5) = 0 Reorder the terms: -1 + -8x + 7x2 + 7 + -3x + 2x2 + -1(-5 + -3x + x2) = 0 -1 + -8x + 7x2 + 7 + -3x + 2x2 + (-5 * -1 + -3x * -1 + x2 * -1) = 0 -1 + -8x + 7x2 + 7 + -3x + 2x2 + (5 + 3x + -1x2) = 0 Reorder the terms: -1 + 7 + 5 + -8x + -3x + 3x + 7x2 + 2x2 + -1x2 = 0 Combine like terms: -1 + 7 = 6 6 + 5 + -8x + -3x + 3x + 7x2 + 2x2 + -1x2 = 0 Combine like terms: 6 + 5 = 11 11 + -8x + -3x + 3x + 7x2 + 2x2 + -1x2 = 0 Combine like terms: -8x + -3x = -11x 11 + -11x + 3x + 7x2 + 2x2 + -1x2 = 0 Combine like terms: -11x + 3x = -8x 11 + -8x + 7x2 + 2x2 + -1x2 = 0 Combine like terms: 7x2 + 2x2 = 9x2 11 + -8x + 9x2 + -1x2 = 0 Combine like terms: 9x2 + -1x2 = 8x2 11 + -8x + 8x2 = 0 Solving 11 + -8x + 8x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 1.375 + -1x + x2 = 0 Move the constant term to the right: Add '-1.375' to each side of the equation. 1.375 + -1x + -1.375 + x2 = 0 + -1.375 Reorder the terms: 1.375 + -1.375 + -1x + x2 = 0 + -1.375 Combine like terms: 1.375 + -1.375 = 0.000 0.000 + -1x + x2 = 0 + -1.375 -1x + x2 = 0 + -1.375 Combine like terms: 0 + -1.375 = -1.375 -1x + x2 = -1.375 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -1.375 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -1.375 + 0.25 Combine like terms: -1.375 + 0.25 = -1.125 0.25 + -1x + x2 = -1.125 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -1.125 Can't calculate square root of the right side. The solution to this equation could not be determined.
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