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Simplifying 5y2 + -3y + 36 = 0 Reorder the terms: 36 + -3y + 5y2 = 0 Solving 36 + -3y + 5y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 7.2 + -0.6y + y2 = 0 Move the constant term to the right: Add '-7.2' to each side of the equation. 7.2 + -0.6y + -7.2 + y2 = 0 + -7.2 Reorder the terms: 7.2 + -7.2 + -0.6y + y2 = 0 + -7.2 Combine like terms: 7.2 + -7.2 = 0.0 0.0 + -0.6y + y2 = 0 + -7.2 -0.6y + y2 = 0 + -7.2 Combine like terms: 0 + -7.2 = -7.2 -0.6y + y2 = -7.2 The y term is -0.6y. Take half its coefficient (-0.3). Square it (0.09) and add it to both sides. Add '0.09' to each side of the equation. -0.6y + 0.09 + y2 = -7.2 + 0.09 Reorder the terms: 0.09 + -0.6y + y2 = -7.2 + 0.09 Combine like terms: -7.2 + 0.09 = -7.11 0.09 + -0.6y + y2 = -7.11 Factor a perfect square on the left side: (y + -0.3)(y + -0.3) = -7.11 Can't calculate square root of the right side. The solution to this equation could not be determined.
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