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Simplifying 25y3 + -40y2 + -105y = 0 Reorder the terms: -105y + -40y2 + 25y3 = 0 Solving -105y + -40y2 + 25y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '5y'. 5y(-21 + -8y + 5y2) = 0 Factor a trinomial. 5y((-7 + -5y)(3 + -1y)) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(-7 + -5y)' equal to zero and attempt to solve: Simplifying -7 + -5y = 0 Solving -7 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -5y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5y = 0 + 7 -5y = 0 + 7 Combine like terms: 0 + 7 = 7 -5y = 7 Divide each side by '-5'. y = -1.4 Simplifying y = -1.4Subproblem 3
Set the factor '(3 + -1y)' equal to zero and attempt to solve: Simplifying 3 + -1y = 0 Solving 3 + -1y = 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 + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 0 + -3 -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3Solution
y = {0, -1.4, 3}
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