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Simplifying (y2) + 4y = 252 y2 + 4y = 252 Reorder the terms: 4y + y2 = 252 Solving 4y + y2 = 252 Solving for variable 'y'. Reorder the terms: -252 + 4y + y2 = 252 + -252 Combine like terms: 252 + -252 = 0 -252 + 4y + y2 = 0 Factor a trinomial. (-18 + -1y)(14 + -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 '(14 + -1y)' equal to zero and attempt to solve: Simplifying 14 + -1y = 0 Solving 14 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1y = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1y = 0 + -14 -1y = 0 + -14 Combine like terms: 0 + -14 = -14 -1y = -14 Divide each side by '-1'. y = 14 Simplifying y = 14Solution
y = {-18, 14}
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