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Simplifying (-1x2) + 6x + -5 = 12 Reorder the terms: -5 + 6x + (-1x2) = 12 Solving -5 + 6x + (-1x2) = 12 Solving for variable 'x'. Reorder the terms: -5 + -12 + 6x + (-1x2) = 12 + -12 Combine like terms: -5 + -12 = -17 -17 + 6x + (-1x2) = 12 + -12 Combine like terms: 12 + -12 = 0 -17 + 6x + (-1x2) = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 17 + -6x + x2 = 0 Move the constant term to the right: Add '-17' to each side of the equation. 17 + -6x + -17 + x2 = 0 + -17 Reorder the terms: 17 + -17 + -6x + x2 = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -6x + x2 = 0 + -17 -6x + x2 = 0 + -17 Combine like terms: 0 + -17 = -17 -6x + x2 = -17 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 = -17 + 9 Reorder the terms: 9 + -6x + x2 = -17 + 9 Combine like terms: -17 + 9 = -8 9 + -6x + x2 = -8 Factor a perfect square on the left side: ((x) + -3)((x) + -3) = -8 Can't calculate square root of the right side. The solution to this equation could not be determined.
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