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Simplifying -4y2 + 32y + -64 = 9 Reorder the terms: -64 + 32y + -4y2 = 9 Solving -64 + 32y + -4y2 = 9 Solving for variable 'y'. Reorder the terms: -64 + -9 + 32y + -4y2 = 9 + -9 Combine like terms: -64 + -9 = -73 -73 + 32y + -4y2 = 9 + -9 Combine like terms: 9 + -9 = 0 -73 + 32y + -4y2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 18.25 + -8y + y2 = 0 Move the constant term to the right: Add '-18.25' to each side of the equation. 18.25 + -8y + -18.25 + y2 = 0 + -18.25 Reorder the terms: 18.25 + -18.25 + -8y + y2 = 0 + -18.25 Combine like terms: 18.25 + -18.25 = 0.00 0.00 + -8y + y2 = 0 + -18.25 -8y + y2 = 0 + -18.25 Combine like terms: 0 + -18.25 = -18.25 -8y + y2 = -18.25 The y term is -8y. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8y + 16 + y2 = -18.25 + 16 Reorder the terms: 16 + -8y + y2 = -18.25 + 16 Combine like terms: -18.25 + 16 = -2.25 16 + -8y + y2 = -2.25 Factor a perfect square on the left side: (y + -4)(y + -4) = -2.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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