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Simplifying 39 + 2y = 15y(-2y) Remove parenthesis around (-2y) 39 + 2y = 15y * -2y Reorder the terms for easier multiplication: 39 + 2y = 15 * -2y * y Multiply 15 * -2 39 + 2y = -30y * y Multiply y * y 39 + 2y = -30y2 Solving 39 + 2y = -30y2 Solving for variable 'y'. Combine like terms: -30y2 + 30y2 = 0 39 + 2y + 30y2 = 0 Begin completing the square. Divide all terms by 30 the coefficient of the squared term: Divide each side by '30'. 1.3 + 0.06666666667y + y2 = 0 Move the constant term to the right: Add '-1.3' to each side of the equation. 1.3 + 0.06666666667y + -1.3 + y2 = 0 + -1.3 Reorder the terms: 1.3 + -1.3 + 0.06666666667y + y2 = 0 + -1.3 Combine like terms: 1.3 + -1.3 = 0.0 0.0 + 0.06666666667y + y2 = 0 + -1.3 0.06666666667y + y2 = 0 + -1.3 Combine like terms: 0 + -1.3 = -1.3 0.06666666667y + y2 = -1.3 The y term is 0.06666666667y. Take half its coefficient (0.03333333334). Square it (0.001111111112) and add it to both sides. Add '0.001111111112' to each side of the equation. 0.06666666667y + 0.001111111112 + y2 = -1.3 + 0.001111111112 Reorder the terms: 0.001111111112 + 0.06666666667y + y2 = -1.3 + 0.001111111112 Combine like terms: -1.3 + 0.001111111112 = -1.298888888888 0.001111111112 + 0.06666666667y + y2 = -1.298888888888 Factor a perfect square on the left side: (y + 0.03333333334)(y + 0.03333333334) = -1.298888888888 Can't calculate square root of the right side. The solution to this equation could not be determined.
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