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Simplifying 5y(y + 2) + -3(y + -3) = 0 Reorder the terms: 5y(2 + y) + -3(y + -3) = 0 (2 * 5y + y * 5y) + -3(y + -3) = 0 (10y + 5y2) + -3(y + -3) = 0 Reorder the terms: 10y + 5y2 + -3(-3 + y) = 0 10y + 5y2 + (-3 * -3 + y * -3) = 0 10y + 5y2 + (9 + -3y) = 0 Reorder the terms: 9 + 10y + -3y + 5y2 = 0 Combine like terms: 10y + -3y = 7y 9 + 7y + 5y2 = 0 Solving 9 + 7y + 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'. 1.8 + 1.4y + y2 = 0 Move the constant term to the right: Add '-1.8' to each side of the equation. 1.8 + 1.4y + -1.8 + y2 = 0 + -1.8 Reorder the terms: 1.8 + -1.8 + 1.4y + y2 = 0 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + 1.4y + y2 = 0 + -1.8 1.4y + y2 = 0 + -1.8 Combine like terms: 0 + -1.8 = -1.8 1.4y + y2 = -1.8 The y term is 1.4y. Take half its coefficient (0.7). Square it (0.49) and add it to both sides. Add '0.49' to each side of the equation. 1.4y + 0.49 + y2 = -1.8 + 0.49 Reorder the terms: 0.49 + 1.4y + y2 = -1.8 + 0.49 Combine like terms: -1.8 + 0.49 = -1.31 0.49 + 1.4y + y2 = -1.31 Factor a perfect square on the left side: (y + 0.7)(y + 0.7) = -1.31 Can't calculate square root of the right side. The solution to this equation could not be determined.
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