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Simplifying (5y2 + -7y + 6) = 0 Reorder the terms: (6 + -7y + 5y2) = 0 Remove parenthesis around (6 + -7y + 5y2) 6 + -7y + 5y2 = 0 Solving 6 + -7y + 5y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1.2 + -1.4y + y2 = 0 Move the constant term to the right: Add '-1.2' to each side of the equation. 1.2 + -1.4y + -1.2 + y2 = 0 + -1.2 Reorder the terms: 1.2 + -1.2 + -1.4y + y2 = 0 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -1.4y + y2 = 0 + -1.2 -1.4y + y2 = 0 + -1.2 Combine like terms: 0 + -1.2 = -1.2 -1.4y + y2 = -1.2 The y term is -1.4y. Take half its coefficient (-0.7). Square it (0.49) and add it to both sides. Add '0.49' to each side of the equation. -1.4y + 0.49 + y2 = -1.2 + 0.49 Reorder the terms: 0.49 + -1.4y + y2 = -1.2 + 0.49 Combine like terms: -1.2 + 0.49 = -0.71 0.49 + -1.4y + y2 = -0.71 Factor a perfect square on the left side: (y + -0.7)(y + -0.7) = -0.71 Can't calculate square root of the right side. The solution to this equation could not be determined.
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