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Simplifying (-1y)(6y2 + 5y) = 0 Remove parenthesis around (-1y) -1y(6y2 + 5y) = 0 Reorder the terms: -1y(5y + 6y2) = 0 (5y * -1y + 6y2 * -1y) = 0 (-5y2 + -6y3) = 0 Solving -5y2 + -6y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '-1y2'. -1y2(5 + 6y) = 0 Ignore the factor -1.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 '(5 + 6y)' equal to zero and attempt to solve: Simplifying 5 + 6y = 0 Solving 5 + 6y = 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 + 6y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6y = 0 + -5 6y = 0 + -5 Combine like terms: 0 + -5 = -5 6y = -5 Divide each side by '6'. y = -0.8333333333 Simplifying y = -0.8333333333Solution
y = {0, -0.8333333333}
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