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Simplifying -29y2 + -12y + -7 = 0 Reorder the terms: -7 + -12y + -29y2 = 0 Solving -7 + -12y + -29y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '-1'. -1(7 + 12y + 29y2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(7 + 12y + 29y2)' equal to zero and attempt to solve: Simplifying 7 + 12y + 29y2 = 0 Solving 7 + 12y + 29y2 = 0 Begin completing the square. Divide all terms by 29 the coefficient of the squared term: Divide each side by '29'. 0.2413793103 + 0.4137931034y + y2 = 0 Move the constant term to the right: Add '-0.2413793103' to each side of the equation. 0.2413793103 + 0.4137931034y + -0.2413793103 + y2 = 0 + -0.2413793103 Reorder the terms: 0.2413793103 + -0.2413793103 + 0.4137931034y + y2 = 0 + -0.2413793103 Combine like terms: 0.2413793103 + -0.2413793103 = 0.0000000000 0.0000000000 + 0.4137931034y + y2 = 0 + -0.2413793103 0.4137931034y + y2 = 0 + -0.2413793103 Combine like terms: 0 + -0.2413793103 = -0.2413793103 0.4137931034y + y2 = -0.2413793103 The y term is 0.4137931034y. Take half its coefficient (0.2068965517). Square it (0.04280618311) and add it to both sides. Add '0.04280618311' to each side of the equation. 0.4137931034y + 0.04280618311 + y2 = -0.2413793103 + 0.04280618311 Reorder the terms: 0.04280618311 + 0.4137931034y + y2 = -0.2413793103 + 0.04280618311 Combine like terms: -0.2413793103 + 0.04280618311 = -0.19857312719 0.04280618311 + 0.4137931034y + y2 = -0.19857312719 Factor a perfect square on the left side: (y + 0.2068965517)(y + 0.2068965517) = -0.19857312719 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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