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Simplifying -12 + -3y + y2 + 14y + 49 = 9 Reorder the terms: -12 + 49 + -3y + 14y + y2 = 9 Combine like terms: -12 + 49 = 37 37 + -3y + 14y + y2 = 9 Combine like terms: -3y + 14y = 11y 37 + 11y + y2 = 9 Solving 37 + 11y + y2 = 9 Solving for variable 'y'. Reorder the terms: 37 + -9 + 11y + y2 = 9 + -9 Combine like terms: 37 + -9 = 28 28 + 11y + y2 = 9 + -9 Combine like terms: 9 + -9 = 0 28 + 11y + y2 = 0 Factor a trinomial. (7 + y)(4 + y) = 0Subproblem 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 '(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 = {-7, -4}
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