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Simplifying y = 4y2 + 556 Reorder the terms: y = 556 + 4y2 Solving y = 556 + 4y2 Solving for variable 'y'. Reorder the terms: -556 + y + -4y2 = 556 + 4y2 + -556 + -4y2 Reorder the terms: -556 + y + -4y2 = 556 + -556 + 4y2 + -4y2 Combine like terms: 556 + -556 = 0 -556 + y + -4y2 = 0 + 4y2 + -4y2 -556 + y + -4y2 = 4y2 + -4y2 Combine like terms: 4y2 + -4y2 = 0 -556 + y + -4y2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 139 + -0.25y + y2 = 0 Move the constant term to the right: Add '-139' to each side of the equation. 139 + -0.25y + -139 + y2 = 0 + -139 Reorder the terms: 139 + -139 + -0.25y + y2 = 0 + -139 Combine like terms: 139 + -139 = 0 0 + -0.25y + y2 = 0 + -139 -0.25y + y2 = 0 + -139 Combine like terms: 0 + -139 = -139 -0.25y + y2 = -139 The y term is y. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -0.25y + 0.25 + y2 = -139 + 0.25 Reorder the terms: 0.25 + -0.25y + y2 = -139 + 0.25 Combine like terms: -139 + 0.25 = -138.75 0.25 + -0.25y + y2 = -138.75 Factor a perfect square on the left side: (y + 0.5)(y + 0.5) = -138.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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