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Simplifying Y2 = 5Y + 50 Reorder the terms: Y2 = 50 + 5Y Solving Y2 = 50 + 5Y Solving for variable 'Y'. Reorder the terms: -50 + -5Y + Y2 = 50 + 5Y + -50 + -5Y Reorder the terms: -50 + -5Y + Y2 = 50 + -50 + 5Y + -5Y Combine like terms: 50 + -50 = 0 -50 + -5Y + Y2 = 0 + 5Y + -5Y -50 + -5Y + Y2 = 5Y + -5Y Combine like terms: 5Y + -5Y = 0 -50 + -5Y + Y2 = 0 Factor a trinomial. (-5 + -1Y)(10 + -1Y) = 0Subproblem 1
Set the factor '(-5 + -1Y)' equal to zero and attempt to solve: Simplifying -5 + -1Y = 0 Solving -5 + -1Y = 0 Move all terms containing Y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1Y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1Y = 0 + 5 -1Y = 0 + 5 Combine like terms: 0 + 5 = 5 -1Y = 5 Divide each side by '-1'. Y = -5 Simplifying Y = -5Subproblem 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 = {-5, 10}
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