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Simplifying 28y4 + -21y3 + 56y2 = 0 Reorder the terms: 56y2 + -21y3 + 28y4 = 0 Solving 56y2 + -21y3 + 28y4 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '7y2'. 7y2(8 + -3y + 4y2) = 0 Ignore the factor 7.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 '(8 + -3y + 4y2)' equal to zero and attempt to solve: Simplifying 8 + -3y + 4y2 = 0 Solving 8 + -3y + 4y2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 2 + -0.75y + y2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -0.75y + -2 + y2 = 0 + -2 Reorder the terms: 2 + -2 + -0.75y + y2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -0.75y + y2 = 0 + -2 -0.75y + y2 = 0 + -2 Combine like terms: 0 + -2 = -2 -0.75y + y2 = -2 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 = -2 + 0.140625 Reorder the terms: 0.140625 + -0.75y + y2 = -2 + 0.140625 Combine like terms: -2 + 0.140625 = -1.859375 0.140625 + -0.75y + y2 = -1.859375 Factor a perfect square on the left side: (y + -0.375)(y + -0.375) = -1.859375 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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