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Simplifying (-2y)(y2 + y) = 0 Remove parenthesis around (-2y) -2y(y2 + y) = 0 Reorder the terms: -2y(y + y2) = 0 (y * -2y + y2 * -2y) = 0 (-2y2 + -2y3) = 0 Solving -2y2 + -2y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '-2y2'. -2y2(1 + y) = 0 Ignore the factor -2.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 '(1 + y)' equal to zero and attempt to solve: Simplifying 1 + y = 0 Solving 1 + y = 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 + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y = 0 + -1 y = 0 + -1 Combine like terms: 0 + -1 = -1 y = -1 Simplifying y = -1Solution
y = {0, -1}
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