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Simplifying 12y + y2 = 448 Solving 12y + y2 = 448 Solving for variable 'y'. Reorder the terms: -448 + 12y + y2 = 448 + -448 Combine like terms: 448 + -448 = 0 -448 + 12y + y2 = 0 Factor a trinomial. (-28 + -1y)(16 + -1y) = 0Subproblem 1
Set the factor '(-28 + -1y)' equal to zero and attempt to solve: Simplifying -28 + -1y = 0 Solving -28 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -1y = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -1y = 0 + 28 -1y = 0 + 28 Combine like terms: 0 + 28 = 28 -1y = 28 Divide each side by '-1'. y = -28 Simplifying y = -28Subproblem 2
Set the factor '(16 + -1y)' equal to zero and attempt to solve: Simplifying 16 + -1y = 0 Solving 16 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1y = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1y = 0 + -16 -1y = 0 + -16 Combine like terms: 0 + -16 = -16 -1y = -16 Divide each side by '-1'. y = 16 Simplifying y = 16Solution
y = {-28, 16}
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