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Simplifying 4y2 + -2y + 7 = 0 Reorder the terms: 7 + -2y + 4y2 = 0 Solving 7 + -2y + 4y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 1.75 + -0.5y + y2 = 0 Move the constant term to the right: Add '-1.75' to each side of the equation. 1.75 + -0.5y + -1.75 + y2 = 0 + -1.75 Reorder the terms: 1.75 + -1.75 + -0.5y + y2 = 0 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + -0.5y + y2 = 0 + -1.75 -0.5y + y2 = 0 + -1.75 Combine like terms: 0 + -1.75 = -1.75 -0.5y + y2 = -1.75 The y term is -0.5y. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5y + 0.0625 + y2 = -1.75 + 0.0625 Reorder the terms: 0.0625 + -0.5y + y2 = -1.75 + 0.0625 Combine like terms: -1.75 + 0.0625 = -1.6875 0.0625 + -0.5y + y2 = -1.6875 Factor a perfect square on the left side: (y + -0.25)(y + -0.25) = -1.6875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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