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Simplifying x2 + 7x + 6 + -1(-1x2 + 10x + -7) = 0 Reorder the terms: x2 + 7x + 6 + -1(-7 + 10x + -1x2) = 0 x2 + 7x + 6 + (-7 * -1 + 10x * -1 + -1x2 * -1) = 0 x2 + 7x + 6 + (7 + -10x + 1x2) = 0 Reorder the terms: 6 + 7 + 7x + -10x + x2 + 1x2 = 0 Combine like terms: 6 + 7 = 13 13 + 7x + -10x + x2 + 1x2 = 0 Combine like terms: 7x + -10x = -3x 13 + -3x + x2 + 1x2 = 0 Combine like terms: x2 + 1x2 = 2x2 13 + -3x + 2x2 = 0 Solving 13 + -3x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 6.5 + -1.5x + x2 = 0 Move the constant term to the right: Add '-6.5' to each side of the equation. 6.5 + -1.5x + -6.5 + x2 = 0 + -6.5 Reorder the terms: 6.5 + -6.5 + -1.5x + x2 = 0 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + -1.5x + x2 = 0 + -6.5 -1.5x + x2 = 0 + -6.5 Combine like terms: 0 + -6.5 = -6.5 -1.5x + x2 = -6.5 The x term is -1.5x. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5x + 0.5625 + x2 = -6.5 + 0.5625 Reorder the terms: 0.5625 + -1.5x + x2 = -6.5 + 0.5625 Combine like terms: -6.5 + 0.5625 = -5.9375 0.5625 + -1.5x + x2 = -5.9375 Factor a perfect square on the left side: (x + -0.75)(x + -0.75) = -5.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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