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Simplifying y2 + -37y + 300 = 0 Reorder the terms: 300 + -37y + y2 = 0 Solving 300 + -37y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (12 + -1y)(25 + -1y) = 0Subproblem 1
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 = 12Subproblem 2
Set the factor '(25 + -1y)' equal to zero and attempt to solve: Simplifying 25 + -1y = 0 Solving 25 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1y = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1y = 0 + -25 -1y = 0 + -25 Combine like terms: 0 + -25 = -25 -1y = -25 Divide each side by '-1'. y = 25 Simplifying y = 25Solution
y = {12, 25}
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