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Simplifying y2 + -4y + 15 = 6 Reorder the terms: 15 + -4y + y2 = 6 Solving 15 + -4y + y2 = 6 Solving for variable 'y'. Reorder the terms: 15 + -6 + -4y + y2 = 6 + -6 Combine like terms: 15 + -6 = 9 9 + -4y + y2 = 6 + -6 Combine like terms: 6 + -6 = 0 9 + -4y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-9' to each side of the equation. 9 + -4y + -9 + y2 = 0 + -9 Reorder the terms: 9 + -9 + -4y + y2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4y + y2 = 0 + -9 -4y + y2 = 0 + -9 Combine like terms: 0 + -9 = -9 -4y + y2 = -9 The y term is -4y. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4y + 4 + y2 = -9 + 4 Reorder the terms: 4 + -4y + y2 = -9 + 4 Combine like terms: -9 + 4 = -5 4 + -4y + y2 = -5 Factor a perfect square on the left side: (y + -2)(y + -2) = -5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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