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Simplifying y2 + 14y + -72 = 0 Reorder the terms: -72 + 14y + y2 = 0 Solving -72 + 14y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (-18 + -1y)(4 + -1y) = 0Subproblem 1
Set the factor '(-18 + -1y)' equal to zero and attempt to solve: Simplifying -18 + -1y = 0 Solving -18 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -1y = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -1y = 0 + 18 -1y = 0 + 18 Combine like terms: 0 + 18 = 18 -1y = 18 Divide each side by '-1'. y = -18 Simplifying y = -18Subproblem 2
Set the factor '(4 + -1y)' equal to zero and attempt to solve: Simplifying 4 + -1y = 0 Solving 4 + -1y = 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 + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 0 + -4 -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4Solution
y = {-18, 4}
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