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Simplifying -1x2 + 6x + -172 = 0 Reorder the terms: -172 + 6x + -1x2 = 0 Solving -172 + 6x + -1x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 172 + -6x + x2 = 0 Move the constant term to the right: Add '-172' to each side of the equation. 172 + -6x + -172 + x2 = 0 + -172 Reorder the terms: 172 + -172 + -6x + x2 = 0 + -172 Combine like terms: 172 + -172 = 0 0 + -6x + x2 = 0 + -172 -6x + x2 = 0 + -172 Combine like terms: 0 + -172 = -172 -6x + x2 = -172 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 = -172 + 9 Reorder the terms: 9 + -6x + x2 = -172 + 9 Combine like terms: -172 + 9 = -163 9 + -6x + x2 = -163 Factor a perfect square on the left side: (x + -3)(x + -3) = -163 Can't calculate square root of the right side. The solution to this equation could not be determined.
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