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Simplifying (3y2 + -5y) + -1(7y2 + -6y + 2) = 0 Reorder the terms: (-5y + 3y2) + -1(7y2 + -6y + 2) = 0 Remove parenthesis around (-5y + 3y2) -5y + 3y2 + -1(7y2 + -6y + 2) = 0 Reorder the terms: -5y + 3y2 + -1(2 + -6y + 7y2) = 0 -5y + 3y2 + (2 * -1 + -6y * -1 + 7y2 * -1) = 0 -5y + 3y2 + (-2 + 6y + -7y2) = 0 Reorder the terms: -2 + -5y + 6y + 3y2 + -7y2 = 0 Combine like terms: -5y + 6y = 1y -2 + 1y + 3y2 + -7y2 = 0 Combine like terms: 3y2 + -7y2 = -4y2 -2 + 1y + -4y2 = 0 Solving -2 + 1y + -4y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 0.5 + -0.25y + y2 = 0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + -0.25y + -0.5 + y2 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + -0.25y + y2 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.25y + y2 = 0 + -0.5 -0.25y + y2 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 -0.25y + y2 = -0.5 The y term is -0.25y. Take half its coefficient (-0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. -0.25y + 0.015625 + y2 = -0.5 + 0.015625 Reorder the terms: 0.015625 + -0.25y + y2 = -0.5 + 0.015625 Combine like terms: -0.5 + 0.015625 = -0.484375 0.015625 + -0.25y + y2 = -0.484375 Factor a perfect square on the left side: (y + -0.125)(y + -0.125) = -0.484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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