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Simplifying -125y6 + 150y5 + -45y4 = 0 Reorder the terms: -45y4 + 150y5 + -125y6 = 0 Solving -45y4 + 150y5 + -125y6 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '5y4'. 5y4(-9 + 30y + -25y2) = 0 Factor a trinomial. 5y4((-3 + 5y)(3 + -5y)) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'y4' equal to zero and attempt to solve: Simplifying y4 = 0 Solving y4 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y4 = 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 '(-3 + 5y)' equal to zero and attempt to solve: Simplifying -3 + 5y = 0 Solving -3 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 5y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5y = 0 + 3 5y = 0 + 3 Combine like terms: 0 + 3 = 3 5y = 3 Divide each side by '5'. y = 0.6 Simplifying y = 0.6Subproblem 3
Set the factor '(3 + -5y)' equal to zero and attempt to solve: Simplifying 3 + -5y = 0 Solving 3 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5y = 0 + -3 -5y = 0 + -3 Combine like terms: 0 + -3 = -3 -5y = -3 Divide each side by '-5'. y = 0.6 Simplifying y = 0.6Solution
y = {0.6, 0.6}
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