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Simplifying y(25 + -0.75y) = 350 (25 * y + -0.75y * y) = 350 (25y + -0.75y2) = 350 Solving 25y + -0.75y2 = 350 Solving for variable 'y'. Reorder the terms: -350 + 25y + -0.75y2 = 350 + -350 Combine like terms: 350 + -350 = 0 -350 + 25y + -0.75y2 = 0 Begin completing the square. Divide all terms by -0.75 the coefficient of the squared term: Divide each side by '-0.75'. 466.6666667 + -33.33333333y + y2 = 0 Move the constant term to the right: Add '-466.6666667' to each side of the equation. 466.6666667 + -33.33333333y + -466.6666667 + y2 = 0 + -466.6666667 Reorder the terms: 466.6666667 + -466.6666667 + -33.33333333y + y2 = 0 + -466.6666667 Combine like terms: 466.6666667 + -466.6666667 = 0.0000000 0.0000000 + -33.33333333y + y2 = 0 + -466.6666667 -33.33333333y + y2 = 0 + -466.6666667 Combine like terms: 0 + -466.6666667 = -466.6666667 -33.33333333y + y2 = -466.6666667 The y term is -33.33333333y. Take half its coefficient (-16.66666667). Square it (277.7777779) and add it to both sides. Add '277.7777779' to each side of the equation. -33.33333333y + 277.7777779 + y2 = -466.6666667 + 277.7777779 Reorder the terms: 277.7777779 + -33.33333333y + y2 = -466.6666667 + 277.7777779 Combine like terms: -466.6666667 + 277.7777779 = -188.8888888 277.7777779 + -33.33333333y + y2 = -188.8888888 Factor a perfect square on the left side: (y + -16.66666667)(y + -16.66666667) = -188.8888888 Can't calculate square root of the right side. The solution to this equation could not be determined.
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