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Simplifying 8y3(9y2 + -3y + 7) = 0 Reorder the terms: 8y3(7 + -3y + 9y2) = 0 (7 * 8y3 + -3y * 8y3 + 9y2 * 8y3) = 0 (56y3 + -24y4 + 72y5) = 0 Solving 56y3 + -24y4 + 72y5 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '8y3'. 8y3(7 + -3y + 9y2) = 0 Ignore the factor 8.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 '(7 + -3y + 9y2)' equal to zero and attempt to solve: Simplifying 7 + -3y + 9y2 = 0 Solving 7 + -3y + 9y2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.7777777778 + -0.3333333333y + y2 = 0 Move the constant term to the right: Add '-0.7777777778' to each side of the equation. 0.7777777778 + -0.3333333333y + -0.7777777778 + y2 = 0 + -0.7777777778 Reorder the terms: 0.7777777778 + -0.7777777778 + -0.3333333333y + y2 = 0 + -0.7777777778 Combine like terms: 0.7777777778 + -0.7777777778 = 0.0000000000 0.0000000000 + -0.3333333333y + y2 = 0 + -0.7777777778 -0.3333333333y + y2 = 0 + -0.7777777778 Combine like terms: 0 + -0.7777777778 = -0.7777777778 -0.3333333333y + y2 = -0.7777777778 The y term is -0.3333333333y. Take half its coefficient (-0.1666666667). Square it (0.02777777779) and add it to both sides. Add '0.02777777779' to each side of the equation. -0.3333333333y + 0.02777777779 + y2 = -0.7777777778 + 0.02777777779 Reorder the terms: 0.02777777779 + -0.3333333333y + y2 = -0.7777777778 + 0.02777777779 Combine like terms: -0.7777777778 + 0.02777777779 = -0.75000000001 0.02777777779 + -0.3333333333y + y2 = -0.75000000001 Factor a perfect square on the left side: (y + -0.1666666667)(y + -0.1666666667) = -0.75000000001 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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