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Simplifying 15y2 + -18y + 7 = 0 Reorder the terms: 7 + -18y + 15y2 = 0 Solving 7 + -18y + 15y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 0.4666666667 + -1.2y + y2 = 0 Move the constant term to the right: Add '-0.4666666667' to each side of the equation. 0.4666666667 + -1.2y + -0.4666666667 + y2 = 0 + -0.4666666667 Reorder the terms: 0.4666666667 + -0.4666666667 + -1.2y + y2 = 0 + -0.4666666667 Combine like terms: 0.4666666667 + -0.4666666667 = 0.0000000000 0.0000000000 + -1.2y + y2 = 0 + -0.4666666667 -1.2y + y2 = 0 + -0.4666666667 Combine like terms: 0 + -0.4666666667 = -0.4666666667 -1.2y + y2 = -0.4666666667 The y term is -1.2y. Take half its coefficient (-0.6). Square it (0.36) and add it to both sides. Add '0.36' to each side of the equation. -1.2y + 0.36 + y2 = -0.4666666667 + 0.36 Reorder the terms: 0.36 + -1.2y + y2 = -0.4666666667 + 0.36 Combine like terms: -0.4666666667 + 0.36 = -0.1066666667 0.36 + -1.2y + y2 = -0.1066666667 Factor a perfect square on the left side: (y + -0.6)(y + -0.6) = -0.1066666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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