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Simplifying 3y2 + -2y + 21 = 0 Reorder the terms: 21 + -2y + 3y2 = 0 Solving 21 + -2y + 3y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 7 + -0.6666666667y + y2 = 0 Move the constant term to the right: Add '-7' to each side of the equation. 7 + -0.6666666667y + -7 + y2 = 0 + -7 Reorder the terms: 7 + -7 + -0.6666666667y + y2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -0.6666666667y + y2 = 0 + -7 -0.6666666667y + y2 = 0 + -7 Combine like terms: 0 + -7 = -7 -0.6666666667y + y2 = -7 The y term is -0.6666666667y. Take half its coefficient (-0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. -0.6666666667y + 0.1111111112 + y2 = -7 + 0.1111111112 Reorder the terms: 0.1111111112 + -0.6666666667y + y2 = -7 + 0.1111111112 Combine like terms: -7 + 0.1111111112 = -6.8888888888 0.1111111112 + -0.6666666667y + y2 = -6.8888888888 Factor a perfect square on the left side: (y + -0.3333333334)(y + -0.3333333334) = -6.8888888888 Can't calculate square root of the right side. The solution to this equation could not be determined.
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