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Simplifying y2 + 24y + 144 + y2 + -74 = 0 Reorder the terms: 144 + -74 + 24y + y2 + y2 = 0 Combine like terms: 144 + -74 = 70 70 + 24y + y2 + y2 = 0 Combine like terms: y2 + y2 = 2y2 70 + 24y + 2y2 = 0 Solving 70 + 24y + 2y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(35 + 12y + y2) = 0 Factor a trinomial. 2((7 + y)(5 + y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(7 + y)' equal to zero and attempt to solve: Simplifying 7 + y = 0 Solving 7 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + y = 0 + -7 y = 0 + -7 Combine like terms: 0 + -7 = -7 y = -7 Simplifying y = -7Subproblem 2
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 = -5Solution
y = {-7, -5}
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