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Simplifying (7y2 + -4y + 2) + (-3y2 + 6y + 5) = 0 Reorder the terms: (2 + -4y + 7y2) + (-3y2 + 6y + 5) = 0 Remove parenthesis around (2 + -4y + 7y2) 2 + -4y + 7y2 + (-3y2 + 6y + 5) = 0 Reorder the terms: 2 + -4y + 7y2 + (5 + 6y + -3y2) = 0 Remove parenthesis around (5 + 6y + -3y2) 2 + -4y + 7y2 + 5 + 6y + -3y2 = 0 Reorder the terms: 2 + 5 + -4y + 6y + 7y2 + -3y2 = 0 Combine like terms: 2 + 5 = 7 7 + -4y + 6y + 7y2 + -3y2 = 0 Combine like terms: -4y + 6y = 2y 7 + 2y + 7y2 + -3y2 = 0 Combine like terms: 7y2 + -3y2 = 4y2 7 + 2y + 4y2 = 0 Solving 7 + 2y + 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'. 1.75 + 0.5y + y2 = 0 Move the constant term to the right: Add '-1.75' to each side of the equation. 1.75 + 0.5y + -1.75 + y2 = 0 + -1.75 Reorder the terms: 1.75 + -1.75 + 0.5y + y2 = 0 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + 0.5y + y2 = 0 + -1.75 0.5y + y2 = 0 + -1.75 Combine like terms: 0 + -1.75 = -1.75 0.5y + y2 = -1.75 The y term is 0.5y. Take half its coefficient (0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. 0.5y + 0.0625 + y2 = -1.75 + 0.0625 Reorder the terms: 0.0625 + 0.5y + y2 = -1.75 + 0.0625 Combine like terms: -1.75 + 0.0625 = -1.6875 0.0625 + 0.5y + y2 = -1.6875 Factor a perfect square on the left side: (y + 0.25)(y + 0.25) = -1.6875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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