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Simplifying y2 + 25y + -444 = 0 Reorder the terms: -444 + 25y + y2 = 0 Solving -444 + 25y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (-37 + -1y)(12 + -1y) = 0Subproblem 1
Set the factor '(-37 + -1y)' equal to zero and attempt to solve: Simplifying -37 + -1y = 0 Solving -37 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + -1y = 0 + 37 Combine like terms: -37 + 37 = 0 0 + -1y = 0 + 37 -1y = 0 + 37 Combine like terms: 0 + 37 = 37 -1y = 37 Divide each side by '-1'. y = -37 Simplifying y = -37Subproblem 2
Set the factor '(12 + -1y)' equal to zero and attempt to solve: Simplifying 12 + -1y = 0 Solving 12 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1y = 0 + -12 -1y = 0 + -12 Combine like terms: 0 + -12 = -12 -1y = -12 Divide each side by '-1'. y = 12 Simplifying y = 12Solution
y = {-37, 12}
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