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Simplifying 14y3 + -72y2 + 10y = 0 Reorder the terms: 10y + -72y2 + 14y3 = 0 Solving 10y + -72y2 + 14y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2y'. 2y(5 + -36y + 7y2) = 0 Factor a trinomial. 2y((1 + -7y)(5 + -1y)) = 0 Ignore the factor 2.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 '(1 + -7y)' equal to zero and attempt to solve: Simplifying 1 + -7y = 0 Solving 1 + -7y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -7y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7y = 0 + -1 -7y = 0 + -1 Combine like terms: 0 + -1 = -1 -7y = -1 Divide each side by '-7'. y = 0.1428571429 Simplifying y = 0.1428571429Subproblem 3
Set the factor '(5 + -1y)' equal to zero and attempt to solve: Simplifying 5 + -1y = 0 Solving 5 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = 0 + -5 -1y = 0 + -5 Combine like terms: 0 + -5 = -5 -1y = -5 Divide each side by '-1'. y = 5 Simplifying y = 5Solution
y = {0, 0.1428571429, 5}
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