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Simplifying 0.5(1.2y2 + 2.4y + 32) = 0 Reorder the terms: 0.5(32 + 2.4y + 1.2y2) = 0 (32 * 0.5 + 2.4y * 0.5 + 1.2y2 * 0.5) = 0 (16 + 1.2y + 0.6y2) = 0 Solving 16 + 1.2y + 0.6y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 0.6 the coefficient of the squared term: Divide each side by '0.6'. 26.66666667 + 2y + y2 = 0 Move the constant term to the right: Add '-26.66666667' to each side of the equation. 26.66666667 + 2y + -26.66666667 + y2 = 0 + -26.66666667 Reorder the terms: 26.66666667 + -26.66666667 + 2y + y2 = 0 + -26.66666667 Combine like terms: 26.66666667 + -26.66666667 = 0.00000000 0.00000000 + 2y + y2 = 0 + -26.66666667 2y + y2 = 0 + -26.66666667 Combine like terms: 0 + -26.66666667 = -26.66666667 2y + y2 = -26.66666667 The y term is 2y. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2y + 1 + y2 = -26.66666667 + 1 Reorder the terms: 1 + 2y + y2 = -26.66666667 + 1 Combine like terms: -26.66666667 + 1 = -25.66666667 1 + 2y + y2 = -25.66666667 Factor a perfect square on the left side: (y + 1)(y + 1) = -25.66666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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