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Simplifying 625 + -1y2 + 10y + -25 = 0 Reorder the terms: 625 + -25 + 10y + -1y2 = 0 Combine like terms: 625 + -25 = 600 600 + 10y + -1y2 = 0 Solving 600 + 10y + -1y2 = 0 Solving for variable 'y'. Factor a trinomial. (30 + -1y)(20 + y) = 0Subproblem 1
Set the factor '(30 + -1y)' equal to zero and attempt to solve: Simplifying 30 + -1y = 0 Solving 30 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -1y = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1y = 0 + -30 -1y = 0 + -30 Combine like terms: 0 + -30 = -30 -1y = -30 Divide each side by '-1'. y = 30 Simplifying y = 30Subproblem 2
Set the factor '(20 + y)' equal to zero and attempt to solve: Simplifying 20 + y = 0 Solving 20 + y = 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 + y = 0 + -20 Combine like terms: 20 + -20 = 0 0 + y = 0 + -20 y = 0 + -20 Combine like terms: 0 + -20 = -20 y = -20 Simplifying y = -20Solution
y = {30, -20}
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