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Simplifying 4y2 + 12 = 5y Reorder the terms: 12 + 4y2 = 5y Solving 12 + 4y2 = 5y Solving for variable 'y'. Reorder the terms: 12 + -5y + 4y2 = 5y + -5y Combine like terms: 5y + -5y = 0 12 + -5y + 4y2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 3 + -1.25y + y2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + -1.25y + -3 + y2 = 0 + -3 Reorder the terms: 3 + -3 + -1.25y + y2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1.25y + y2 = 0 + -3 -1.25y + y2 = 0 + -3 Combine like terms: 0 + -3 = -3 -1.25y + y2 = -3 The y term is -1.25y. Take half its coefficient (-0.625). Square it (0.390625) and add it to both sides. Add '0.390625' to each side of the equation. -1.25y + 0.390625 + y2 = -3 + 0.390625 Reorder the terms: 0.390625 + -1.25y + y2 = -3 + 0.390625 Combine like terms: -3 + 0.390625 = -2.609375 0.390625 + -1.25y + y2 = -2.609375 Factor a perfect square on the left side: (y + -0.625)(y + -0.625) = -2.609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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