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Simplifying -21 = 3y2 + -14y Reorder the terms: -21 = -14y + 3y2 Solving -21 = -14y + 3y2 Solving for variable 'y'. Reorder the terms: -21 + 14y + -3y2 = -14y + 14y + 3y2 + -3y2 Combine like terms: -14y + 14y = 0 -21 + 14y + -3y2 = 0 + 3y2 + -3y2 -21 + 14y + -3y2 = 3y2 + -3y2 Combine like terms: 3y2 + -3y2 = 0 -21 + 14y + -3y2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 7 + -4.666666667y + y2 = 0 Move the constant term to the right: Add '-7' to each side of the equation. 7 + -4.666666667y + -7 + y2 = 0 + -7 Reorder the terms: 7 + -7 + -4.666666667y + y2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4.666666667y + y2 = 0 + -7 -4.666666667y + y2 = 0 + -7 Combine like terms: 0 + -7 = -7 -4.666666667y + y2 = -7 The y term is -4.666666667y. Take half its coefficient (-2.333333334). Square it (5.444444448) and add it to both sides. Add '5.444444448' to each side of the equation. -4.666666667y + 5.444444448 + y2 = -7 + 5.444444448 Reorder the terms: 5.444444448 + -4.666666667y + y2 = -7 + 5.444444448 Combine like terms: -7 + 5.444444448 = -1.555555552 5.444444448 + -4.666666667y + y2 = -1.555555552 Factor a perfect square on the left side: (y + -2.333333334)(y + -2.333333334) = -1.555555552 Can't calculate square root of the right side. The solution to this equation could not be determined.
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