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Simplifying 8y2(8y2 + -2y + 5) = 0 Reorder the terms: 8y2(5 + -2y + 8y2) = 0 (5 * 8y2 + -2y * 8y2 + 8y2 * 8y2) = 0 (40y2 + -16y3 + 64y4) = 0 Solving 40y2 + -16y3 + 64y4 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '8y2'. 8y2(5 + -2y + 8y2) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y2 = 0 Take the square root of each side: y = {0}Subproblem 2
Set the factor '(5 + -2y + 8y2)' equal to zero and attempt to solve: Simplifying 5 + -2y + 8y2 = 0 Solving 5 + -2y + 8y2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.625 + -0.25y + y2 = 0 Move the constant term to the right: Add '-0.625' to each side of the equation. 0.625 + -0.25y + -0.625 + y2 = 0 + -0.625 Reorder the terms: 0.625 + -0.625 + -0.25y + y2 = 0 + -0.625 Combine like terms: 0.625 + -0.625 = 0.000 0.000 + -0.25y + y2 = 0 + -0.625 -0.25y + y2 = 0 + -0.625 Combine like terms: 0 + -0.625 = -0.625 -0.25y + y2 = -0.625 The y term is -0.25y. Take half its coefficient (-0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. -0.25y + 0.015625 + y2 = -0.625 + 0.015625 Reorder the terms: 0.015625 + -0.25y + y2 = -0.625 + 0.015625 Combine like terms: -0.625 + 0.015625 = -0.609375 0.015625 + -0.25y + y2 = -0.609375 Factor a perfect square on the left side: (y + -0.125)(y + -0.125) = -0.609375 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.Solution
y = {0}
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