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Simplifying (36y + 3) * y2 = 0 Reorder the terms: (3 + 36y) * y2 = 0 Reorder the terms for easier multiplication: y2(3 + 36y) = 0 (3 * y2 + 36y * y2) = 0 (3y2 + 36y3) = 0 Solving 3y2 + 36y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3y2'. 3y2(1 + 12y) = 0 Ignore the factor 3.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 + 12y)' equal to zero and attempt to solve: Simplifying 1 + 12y = 0 Solving 1 + 12y = 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 + 12y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 12y = 0 + -1 12y = 0 + -1 Combine like terms: 0 + -1 = -1 12y = -1 Divide each side by '12'. y = -0.08333333333 Simplifying y = -0.08333333333Solution
y = {0, -0.08333333333}
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