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Simplifying 11y + y2 = 152 Solving 11y + y2 = 152 Solving for variable 'y'. Reorder the terms: -152 + 11y + y2 = 152 + -152 Combine like terms: 152 + -152 = 0 -152 + 11y + y2 = 0 Factor a trinomial. (-19 + -1y)(8 + -1y) = 0Subproblem 1
Set the factor '(-19 + -1y)' equal to zero and attempt to solve: Simplifying -19 + -1y = 0 Solving -19 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -1y = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -1y = 0 + 19 -1y = 0 + 19 Combine like terms: 0 + 19 = 19 -1y = 19 Divide each side by '-1'. y = -19 Simplifying y = -19Subproblem 2
Set the factor '(8 + -1y)' equal to zero and attempt to solve: Simplifying 8 + -1y = 0 Solving 8 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1y = 0 + -8 -1y = 0 + -8 Combine like terms: 0 + -8 = -8 -1y = -8 Divide each side by '-1'. y = 8 Simplifying y = 8Solution
y = {-19, 8}
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