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Simplifying 3y2 + 21y = -30 Reorder the terms: 21y + 3y2 = -30 Solving 21y + 3y2 = -30 Solving for variable 'y'. Reorder the terms: 30 + 21y + 3y2 = -30 + 30 Combine like terms: -30 + 30 = 0 30 + 21y + 3y2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(10 + 7y + y2) = 0 Factor a trinomial. 3((5 + y)(2 + y)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(5 + y)' equal to zero and attempt to solve: Simplifying 5 + y = 0 Solving 5 + y = 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 + y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + y = 0 + -5 y = 0 + -5 Combine like terms: 0 + -5 = -5 y = -5 Simplifying y = -5Subproblem 2
Set the factor '(2 + y)' equal to zero and attempt to solve: Simplifying 2 + y = 0 Solving 2 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + y = 0 + -2 y = 0 + -2 Combine like terms: 0 + -2 = -2 y = -2 Simplifying y = -2Solution
y = {-5, -2}
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