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Simplifying 4y4 + -24y3 + 76y2 = 0 Reorder the terms: 76y2 + -24y3 + 4y4 = 0 Solving 76y2 + -24y3 + 4y4 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4y2'. 4y2(19 + -6y + y2) = 0 Ignore the factor 4.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 '(19 + -6y + y2)' equal to zero and attempt to solve: Simplifying 19 + -6y + y2 = 0 Solving 19 + -6y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-19' to each side of the equation. 19 + -6y + -19 + y2 = 0 + -19 Reorder the terms: 19 + -19 + -6y + y2 = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -6y + y2 = 0 + -19 -6y + y2 = 0 + -19 Combine like terms: 0 + -19 = -19 -6y + y2 = -19 The y term is -6y. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6y + 9 + y2 = -19 + 9 Reorder the terms: 9 + -6y + y2 = -19 + 9 Combine like terms: -19 + 9 = -10 9 + -6y + y2 = -10 Factor a perfect square on the left side: (y + -3)(y + -3) = -10 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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