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Simplifying -10 = x2 + -6x + 8 Reorder the terms: -10 = 8 + -6x + x2 Solving -10 = 8 + -6x + x2 Solving for variable 'x'. Combine like terms: -10 + -8 = -18 -18 + 6x + -1x2 = 8 + -6x + x2 + -8 + 6x + -1x2 Reorder the terms: -18 + 6x + -1x2 = 8 + -8 + -6x + 6x + x2 + -1x2 Combine like terms: 8 + -8 = 0 -18 + 6x + -1x2 = 0 + -6x + 6x + x2 + -1x2 -18 + 6x + -1x2 = -6x + 6x + x2 + -1x2 Combine like terms: -6x + 6x = 0 -18 + 6x + -1x2 = 0 + x2 + -1x2 -18 + 6x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -18 + 6x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 18 + -6x + x2 = 0 Move the constant term to the right: Add '-18' to each side of the equation. 18 + -6x + -18 + x2 = 0 + -18 Reorder the terms: 18 + -18 + -6x + x2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -6x + x2 = 0 + -18 -6x + x2 = 0 + -18 Combine like terms: 0 + -18 = -18 -6x + x2 = -18 The x term is -6x. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6x + 9 + x2 = -18 + 9 Reorder the terms: 9 + -6x + x2 = -18 + 9 Combine like terms: -18 + 9 = -9 9 + -6x + x2 = -9 Factor a perfect square on the left side: (x + -3)(x + -3) = -9 Can't calculate square root of the right side. The solution to this equation could not be determined.
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