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Simplifying y * y + 15y + -1000 = 0 Multiply y * y y2 + 15y + -1000 = 0 Reorder the terms: -1000 + 15y + y2 = 0 Solving -1000 + 15y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (-40 + -1y)(25 + -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 '(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 = {-40, 25}
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