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Simplifying y2 + -180y + 3200 = 0 Reorder the terms: 3200 + -180y + y2 = 0 Solving 3200 + -180y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (20 + -1y)(160 + -1y) = 0Subproblem 1
Set the factor '(20 + -1y)' equal to zero and attempt to solve: Simplifying 20 + -1y = 0 Solving 20 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1y = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1y = 0 + -20 -1y = 0 + -20 Combine like terms: 0 + -20 = -20 -1y = -20 Divide each side by '-1'. y = 20 Simplifying y = 20Subproblem 2
Set the factor '(160 + -1y)' equal to zero and attempt to solve: Simplifying 160 + -1y = 0 Solving 160 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-160' to each side of the equation. 160 + -160 + -1y = 0 + -160 Combine like terms: 160 + -160 = 0 0 + -1y = 0 + -160 -1y = 0 + -160 Combine like terms: 0 + -160 = -160 -1y = -160 Divide each side by '-1'. y = 160 Simplifying y = 160Solution
y = {20, 160}
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