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Simplifying -1x2 + 22x + -175 = 0 Reorder the terms: -175 + 22x + -1x2 = 0 Solving -175 + 22x + -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'. 175 + -22x + x2 = 0 Move the constant term to the right: Add '-175' to each side of the equation. 175 + -22x + -175 + x2 = 0 + -175 Reorder the terms: 175 + -175 + -22x + x2 = 0 + -175 Combine like terms: 175 + -175 = 0 0 + -22x + x2 = 0 + -175 -22x + x2 = 0 + -175 Combine like terms: 0 + -175 = -175 -22x + x2 = -175 The x term is -22x. Take half its coefficient (-11). Square it (121) and add it to both sides. Add '121' to each side of the equation. -22x + 121 + x2 = -175 + 121 Reorder the terms: 121 + -22x + x2 = -175 + 121 Combine like terms: -175 + 121 = -54 121 + -22x + x2 = -54 Factor a perfect square on the left side: (x + -11)(x + -11) = -54 Can't calculate square root of the right side. The solution to this equation could not be determined.
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