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Simplifying 9y3(6y2 + -7y + 6) = 0 Reorder the terms: 9y3(6 + -7y + 6y2) = 0 (6 * 9y3 + -7y * 9y3 + 6y2 * 9y3) = 0 (54y3 + -63y4 + 54y5) = 0 Solving 54y3 + -63y4 + 54y5 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '9y3'. 9y3(6 + -7y + 6y2) = 0 Ignore the factor 9.Subproblem 1
Set the factor 'y3' equal to zero and attempt to solve: Simplifying y3 = 0 Solving y3 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(6 + -7y + 6y2)' equal to zero and attempt to solve: Simplifying 6 + -7y + 6y2 = 0 Solving 6 + -7y + 6y2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 1 + -1.166666667y + y2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -1.166666667y + -1 + y2 = 0 + -1 Reorder the terms: 1 + -1 + -1.166666667y + y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1.166666667y + y2 = 0 + -1 -1.166666667y + y2 = 0 + -1 Combine like terms: 0 + -1 = -1 -1.166666667y + y2 = -1 The y term is -1.166666667y. Take half its coefficient (-0.5833333335). Square it (0.3402777780) and add it to both sides. Add '0.3402777780' to each side of the equation. -1.166666667y + 0.3402777780 + y2 = -1 + 0.3402777780 Reorder the terms: 0.3402777780 + -1.166666667y + y2 = -1 + 0.3402777780 Combine like terms: -1 + 0.3402777780 = -0.659722222 0.3402777780 + -1.166666667y + y2 = -0.659722222 Factor a perfect square on the left side: (y + -0.5833333335)(y + -0.5833333335) = -0.659722222 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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