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Simplifying 5y5(8y2 + -6y + 7) = 0 Reorder the terms: 5y5(7 + -6y + 8y2) = 0 (7 * 5y5 + -6y * 5y5 + 8y2 * 5y5) = 0 (35y5 + -30y6 + 40y7) = 0 Solving 35y5 + -30y6 + 40y7 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '5y5'. 5y5(7 + -6y + 8y2) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'y5' equal to zero and attempt to solve: Simplifying y5 = 0 Solving y5 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y5 = 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 + -6y + 8y2)' equal to zero and attempt to solve: Simplifying 7 + -6y + 8y2 = 0 Solving 7 + -6y + 8y2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.875 + -0.75y + y2 = 0 Move the constant term to the right: Add '-0.875' to each side of the equation. 0.875 + -0.75y + -0.875 + y2 = 0 + -0.875 Reorder the terms: 0.875 + -0.875 + -0.75y + y2 = 0 + -0.875 Combine like terms: 0.875 + -0.875 = 0.000 0.000 + -0.75y + y2 = 0 + -0.875 -0.75y + y2 = 0 + -0.875 Combine like terms: 0 + -0.875 = -0.875 -0.75y + y2 = -0.875 The y term is -0.75y. Take half its coefficient (-0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. -0.75y + 0.140625 + y2 = -0.875 + 0.140625 Reorder the terms: 0.140625 + -0.75y + y2 = -0.875 + 0.140625 Combine like terms: -0.875 + 0.140625 = -0.734375 0.140625 + -0.75y + y2 = -0.734375 Factor a perfect square on the left side: (y + -0.375)(y + -0.375) = -0.734375 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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