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Simplifying -11y + y2 + -152 = 0 Reorder the terms: -152 + -11y + y2 = 0 Solving -152 + -11y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (-8 + -1y)(19 + -1y) = 0Subproblem 1
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 = -8Subproblem 2
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 = 19Solution
y = {-8, 19}
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