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Simplifying p2 + -2py = 3y2 Reorder the terms: -2py + p2 = 3y2 Solving -2py + p2 = 3y2 Solving for variable 'p'. Combine like terms: 3y2 + -3y2 = 0 -2py + p2 + -3y2 = 0 Factor a trinomial. (p + -3y)(p + y) = 0Subproblem 1
Set the factor '(p + -3y)' equal to zero and attempt to solve: Simplifying p + -3y = 0 Solving p + -3y = 0 Move all terms containing p to the left, all other terms to the right. Add '3y' to each side of the equation. p + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 p + 0 = 0 + 3y p = 0 + 3y Remove the zero: p = 3y Simplifying p = 3ySubproblem 2
Set the factor '(p + y)' equal to zero and attempt to solve: Simplifying p + y = 0 Solving p + y = 0 Move all terms containing p to the left, all other terms to the right. Add '-1y' to each side of the equation. p + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 p + 0 = 0 + -1y p = 0 + -1y Remove the zero: p = -1y Simplifying p = -1ySolution
p = {3y, -1y}
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