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Simplifying 5y2 + 45y = -100 Reorder the terms: 45y + 5y2 = -100 Solving 45y + 5y2 = -100 Solving for variable 'y'. Reorder the terms: 100 + 45y + 5y2 = -100 + 100 Combine like terms: -100 + 100 = 0 100 + 45y + 5y2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(20 + 9y + y2) = 0 Factor a trinomial. 5((5 + y)(4 + y)) = 0 Ignore the factor 5.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 '(4 + y)' equal to zero and attempt to solve: Simplifying 4 + y = 0 Solving 4 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + y = 0 + -4 y = 0 + -4 Combine like terms: 0 + -4 = -4 y = -4 Simplifying y = -4Solution
y = {-5, -4}
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