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Simplifying 3y2 + 7y = 3y + -4 Reorder the terms: 7y + 3y2 = 3y + -4 Reorder the terms: 7y + 3y2 = -4 + 3y Solving 7y + 3y2 = -4 + 3y Solving for variable 'y'. Reorder the terms: 4 + 7y + -3y + 3y2 = -4 + 3y + 4 + -3y Combine like terms: 7y + -3y = 4y 4 + 4y + 3y2 = -4 + 3y + 4 + -3y Reorder the terms: 4 + 4y + 3y2 = -4 + 4 + 3y + -3y Combine like terms: -4 + 4 = 0 4 + 4y + 3y2 = 0 + 3y + -3y 4 + 4y + 3y2 = 3y + -3y Combine like terms: 3y + -3y = 0 4 + 4y + 3y2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 1.333333333 + 1.333333333y + y2 = 0 Move the constant term to the right: Add '-1.333333333' to each side of the equation. 1.333333333 + 1.333333333y + -1.333333333 + y2 = 0 + -1.333333333 Reorder the terms: 1.333333333 + -1.333333333 + 1.333333333y + y2 = 0 + -1.333333333 Combine like terms: 1.333333333 + -1.333333333 = 0.000000000 0.000000000 + 1.333333333y + y2 = 0 + -1.333333333 1.333333333y + y2 = 0 + -1.333333333 Combine like terms: 0 + -1.333333333 = -1.333333333 1.333333333y + y2 = -1.333333333 The y term is 1.333333333y. Take half its coefficient (0.6666666665). Square it (0.4444444442) and add it to both sides. Add '0.4444444442' to each side of the equation. 1.333333333y + 0.4444444442 + y2 = -1.333333333 + 0.4444444442 Reorder the terms: 0.4444444442 + 1.333333333y + y2 = -1.333333333 + 0.4444444442 Combine like terms: -1.333333333 + 0.4444444442 = -0.8888888888 0.4444444442 + 1.333333333y + y2 = -0.8888888888 Factor a perfect square on the left side: (y + 0.6666666665)(y + 0.6666666665) = -0.8888888888 Can't calculate square root of the right side. The solution to this equation could not be determined.
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