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Simplifying 5y4 + -320y3 + 4800y2 = 0 Reorder the terms: 4800y2 + -320y3 + 5y4 = 0 Solving 4800y2 + -320y3 + 5y4 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '5y2'. 5y2(960 + -64y + y2) = 0 Factor a trinomial. 5y2((24 + -1y)(40 + -1y)) = 0 Ignore the factor 5.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 '(24 + -1y)' equal to zero and attempt to solve: Simplifying 24 + -1y = 0 Solving 24 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1y = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1y = 0 + -24 -1y = 0 + -24 Combine like terms: 0 + -24 = -24 -1y = -24 Divide each side by '-1'. y = 24 Simplifying y = 24Subproblem 3
Set the factor '(40 + -1y)' equal to zero and attempt to solve: Simplifying 40 + -1y = 0 Solving 40 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1y = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1y = 0 + -40 -1y = 0 + -40 Combine like terms: 0 + -40 = -40 -1y = -40 Divide each side by '-1'. y = 40 Simplifying y = 40Solution
y = {0, 24, 40}
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