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Simplifying y2 + 4y + 21 = 5 Reorder the terms: 21 + 4y + y2 = 5 Solving 21 + 4y + y2 = 5 Solving for variable 'y'. Reorder the terms: 21 + -5 + 4y + y2 = 5 + -5 Combine like terms: 21 + -5 = 16 16 + 4y + y2 = 5 + -5 Combine like terms: 5 + -5 = 0 16 + 4y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-16' to each side of the equation. 16 + 4y + -16 + y2 = 0 + -16 Reorder the terms: 16 + -16 + 4y + y2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 4y + y2 = 0 + -16 4y + y2 = 0 + -16 Combine like terms: 0 + -16 = -16 4y + y2 = -16 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 = -16 + 4 Reorder the terms: 4 + 4y + y2 = -16 + 4 Combine like terms: -16 + 4 = -12 4 + 4y + y2 = -12 Factor a perfect square on the left side: (y + 2)(y + 2) = -12 Can't calculate square root of the right side. The solution to this equation could not be determined.
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