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Simplifying 10y2 + -78y + 169 = 0 Reorder the terms: 169 + -78y + 10y2 = 0 Solving 169 + -78y + 10y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 16.9 + -7.8y + y2 = 0 Move the constant term to the right: Add '-16.9' to each side of the equation. 16.9 + -7.8y + -16.9 + y2 = 0 + -16.9 Reorder the terms: 16.9 + -16.9 + -7.8y + y2 = 0 + -16.9 Combine like terms: 16.9 + -16.9 = 0.0 0.0 + -7.8y + y2 = 0 + -16.9 -7.8y + y2 = 0 + -16.9 Combine like terms: 0 + -16.9 = -16.9 -7.8y + y2 = -16.9 The y term is -7.8y. Take half its coefficient (-3.9). Square it (15.21) and add it to both sides. Add '15.21' to each side of the equation. -7.8y + 15.21 + y2 = -16.9 + 15.21 Reorder the terms: 15.21 + -7.8y + y2 = -16.9 + 15.21 Combine like terms: -16.9 + 15.21 = -1.69 15.21 + -7.8y + y2 = -1.69 Factor a perfect square on the left side: (y + -3.9)(y + -3.9) = -1.69 Can't calculate square root of the right side. The solution to this equation could not be determined.
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