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Simplifying 30y + y2 = 400 Solving 30y + y2 = 400 Solving for variable 'y'. Reorder the terms: -400 + 30y + y2 = 400 + -400 Combine like terms: 400 + -400 = 0 -400 + 30y + y2 = 0 Factor a trinomial. (-40 + -1y)(10 + -1y) = 0Subproblem 1
Set the factor '(-40 + -1y)' equal to zero and attempt to solve: Simplifying -40 + -1y = 0 Solving -40 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -1y = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -1y = 0 + 40 -1y = 0 + 40 Combine like terms: 0 + 40 = 40 -1y = 40 Divide each side by '-1'. y = -40 Simplifying y = -40Subproblem 2
Set the factor '(10 + -1y)' equal to zero and attempt to solve: Simplifying 10 + -1y = 0 Solving 10 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1y = 0 + -10 -1y = 0 + -10 Combine like terms: 0 + -10 = -10 -1y = -10 Divide each side by '-1'. y = 10 Simplifying y = 10Solution
y = {-40, 10}
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