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Simplifying 6y2(y2 + 6y + 9) = 0 Reorder the terms: 6y2(9 + 6y + y2) = 0 (9 * 6y2 + 6y * 6y2 + y2 * 6y2) = 0 (54y2 + 36y3 + 6y4) = 0 Solving 54y2 + 36y3 + 6y4 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '6y2'. 6y2(9 + 6y + y2) = 0 Factor a trinomial. 6y2((3 + y)(3 + y)) = 0 Ignore the factor 6.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 '(3 + y)' equal to zero and attempt to solve: Simplifying 3 + y = 0 Solving 3 + y = 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 + y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + y = 0 + -3 y = 0 + -3 Combine like terms: 0 + -3 = -3 y = -3 Simplifying y = -3Subproblem 3
Set the factor '(3 + y)' equal to zero and attempt to solve: Simplifying 3 + y = 0 Solving 3 + y = 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 + y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + y = 0 + -3 y = 0 + -3 Combine like terms: 0 + -3 = -3 y = -3 Simplifying y = -3Solution
y = {0, -3, -3}
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