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Simplifying -12y2 + 16y + -72 = 0 Reorder the terms: -72 + 16y + -12y2 = 0 Solving -72 + 16y + -12y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4'. 4(-18 + 4y + -3y2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-18 + 4y + -3y2)' equal to zero and attempt to solve: Simplifying -18 + 4y + -3y2 = 0 Solving -18 + 4y + -3y2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 6 + -1.333333333y + y2 = 0 Move the constant term to the right: Add '-6' to each side of the equation. 6 + -1.333333333y + -6 + y2 = 0 + -6 Reorder the terms: 6 + -6 + -1.333333333y + y2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1.333333333y + y2 = 0 + -6 -1.333333333y + y2 = 0 + -6 Combine like terms: 0 + -6 = -6 -1.333333333y + y2 = -6 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 = -6 + 0.4444444442 Reorder the terms: 0.4444444442 + -1.333333333y + y2 = -6 + 0.4444444442 Combine like terms: -6 + 0.4444444442 = -5.5555555558 0.4444444442 + -1.333333333y + y2 = -5.5555555558 Factor a perfect square on the left side: (y + -0.6666666665)(y + -0.6666666665) = -5.5555555558 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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