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Simplifying 324 = 15Y + Y2 Solving 324 = 15Y + Y2 Solving for variable 'Y'. Reorder the terms: 324 + -15Y + -1Y2 = 15Y + -15Y + Y2 + -1Y2 Combine like terms: 15Y + -15Y = 0 324 + -15Y + -1Y2 = 0 + Y2 + -1Y2 324 + -15Y + -1Y2 = Y2 + -1Y2 Combine like terms: Y2 + -1Y2 = 0 324 + -15Y + -1Y2 = 0 Factor a trinomial. (12 + -1Y)(27 + Y) = 0Subproblem 1
Set the factor '(12 + -1Y)' equal to zero and attempt to solve: Simplifying 12 + -1Y = 0 Solving 12 + -1Y = 0 Move all terms containing Y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1Y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1Y = 0 + -12 -1Y = 0 + -12 Combine like terms: 0 + -12 = -12 -1Y = -12 Divide each side by '-1'. Y = 12 Simplifying Y = 12Subproblem 2
Set the factor '(27 + Y)' equal to zero and attempt to solve: Simplifying 27 + Y = 0 Solving 27 + Y = 0 Move all terms containing Y to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + Y = 0 + -27 Combine like terms: 27 + -27 = 0 0 + Y = 0 + -27 Y = 0 + -27 Combine like terms: 0 + -27 = -27 Y = -27 Simplifying Y = -27Solution
Y = {12, -27}
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