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Simplifying 0 = y2 + -14y + 210 Reorder the terms: 0 = 210 + -14y + y2 Solving 0 = 210 + -14y + y2 Solving for variable 'y'. Combine like terms: 0 + -210 = -210 -210 + 14y + -1y2 = 210 + -14y + y2 + -210 + 14y + -1y2 Reorder the terms: -210 + 14y + -1y2 = 210 + -210 + -14y + 14y + y2 + -1y2 Combine like terms: 210 + -210 = 0 -210 + 14y + -1y2 = 0 + -14y + 14y + y2 + -1y2 -210 + 14y + -1y2 = -14y + 14y + y2 + -1y2 Combine like terms: -14y + 14y = 0 -210 + 14y + -1y2 = 0 + y2 + -1y2 -210 + 14y + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -210 + 14y + -1y2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 210 + -14y + y2 = 0 Move the constant term to the right: Add '-210' to each side of the equation. 210 + -14y + -210 + y2 = 0 + -210 Reorder the terms: 210 + -210 + -14y + y2 = 0 + -210 Combine like terms: 210 + -210 = 0 0 + -14y + y2 = 0 + -210 -14y + y2 = 0 + -210 Combine like terms: 0 + -210 = -210 -14y + y2 = -210 The y term is -14y. Take half its coefficient (-7). Square it (49) and add it to both sides. Add '49' to each side of the equation. -14y + 49 + y2 = -210 + 49 Reorder the terms: 49 + -14y + y2 = -210 + 49 Combine like terms: -210 + 49 = -161 49 + -14y + y2 = -161 Factor a perfect square on the left side: (y + -7)(y + -7) = -161 Can't calculate square root of the right side. The solution to this equation could not be determined.
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