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Simplifying -6y2 + -1y + -2 = 0 Reorder the terms: -2 + -1y + -6y2 = 0 Solving -2 + -1y + -6y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '-1'. -1(2 + y + 6y2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(2 + y + 6y2)' equal to zero and attempt to solve: Simplifying 2 + y + 6y2 = 0 Solving 2 + y + 6y2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 0.3333333333 + 0.1666666667y + y2 = 0 Move the constant term to the right: Add '-0.3333333333' to each side of the equation. 0.3333333333 + 0.1666666667y + -0.3333333333 + y2 = 0 + -0.3333333333 Reorder the terms: 0.3333333333 + -0.3333333333 + 0.1666666667y + y2 = 0 + -0.3333333333 Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000 0.0000000000 + 0.1666666667y + y2 = 0 + -0.3333333333 0.1666666667y + y2 = 0 + -0.3333333333 Combine like terms: 0 + -0.3333333333 = -0.3333333333 0.1666666667y + y2 = -0.3333333333 The y term is y. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.1666666667y + 0.25 + y2 = -0.3333333333 + 0.25 Reorder the terms: 0.25 + 0.1666666667y + y2 = -0.3333333333 + 0.25 Combine like terms: -0.3333333333 + 0.25 = -0.0833333333 0.25 + 0.1666666667y + y2 = -0.0833333333 Factor a perfect square on the left side: (y + 0.5)(y + 0.5) = -0.0833333333 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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