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Simplifying (3y2 + -7y) + -1(9y2 + -8y + 5) = 0 Reorder the terms: (-7y + 3y2) + -1(9y2 + -8y + 5) = 0 Remove parenthesis around (-7y + 3y2) -7y + 3y2 + -1(9y2 + -8y + 5) = 0 Reorder the terms: -7y + 3y2 + -1(5 + -8y + 9y2) = 0 -7y + 3y2 + (5 * -1 + -8y * -1 + 9y2 * -1) = 0 -7y + 3y2 + (-5 + 8y + -9y2) = 0 Reorder the terms: -5 + -7y + 8y + 3y2 + -9y2 = 0 Combine like terms: -7y + 8y = 1y -5 + 1y + 3y2 + -9y2 = 0 Combine like terms: 3y2 + -9y2 = -6y2 -5 + 1y + -6y2 = 0 Solving -5 + 1y + -6y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by -6 the coefficient of the squared term: Divide each side by '-6'. 0.8333333333 + -0.1666666667y + y2 = 0 Move the constant term to the right: Add '-0.8333333333' to each side of the equation. 0.8333333333 + -0.1666666667y + -0.8333333333 + y2 = 0 + -0.8333333333 Reorder the terms: 0.8333333333 + -0.8333333333 + -0.1666666667y + y2 = 0 + -0.8333333333 Combine like terms: 0.8333333333 + -0.8333333333 = 0.0000000000 0.0000000000 + -0.1666666667y + y2 = 0 + -0.8333333333 -0.1666666667y + y2 = 0 + -0.8333333333 Combine like terms: 0 + -0.8333333333 = -0.8333333333 -0.1666666667y + y2 = -0.8333333333 The y term is -0.1666666667y. Take half its coefficient (-0.08333333335). Square it (0.006944444447) and add it to both sides. Add '0.006944444447' to each side of the equation. -0.1666666667y + 0.006944444447 + y2 = -0.8333333333 + 0.006944444447 Reorder the terms: 0.006944444447 + -0.1666666667y + y2 = -0.8333333333 + 0.006944444447 Combine like terms: -0.8333333333 + 0.006944444447 = -0.826388888853 0.006944444447 + -0.1666666667y + y2 = -0.826388888853 Factor a perfect square on the left side: (y + -0.08333333335)(y + -0.08333333335) = -0.826388888853 Can't calculate square root of the right side. The solution to this equation could not be determined.
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