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Simplifying 4y2 + -24y + 189 = 0 Reorder the terms: 189 + -24y + 4y2 = 0 Solving 189 + -24y + 4y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 47.25 + -6y + y2 = 0 Move the constant term to the right: Add '-47.25' to each side of the equation. 47.25 + -6y + -47.25 + y2 = 0 + -47.25 Reorder the terms: 47.25 + -47.25 + -6y + y2 = 0 + -47.25 Combine like terms: 47.25 + -47.25 = 0.00 0.00 + -6y + y2 = 0 + -47.25 -6y + y2 = 0 + -47.25 Combine like terms: 0 + -47.25 = -47.25 -6y + y2 = -47.25 The y term is -6y. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6y + 9 + y2 = -47.25 + 9 Reorder the terms: 9 + -6y + y2 = -47.25 + 9 Combine like terms: -47.25 + 9 = -38.25 9 + -6y + y2 = -38.25 Factor a perfect square on the left side: (y + -3)(y + -3) = -38.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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