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Simplifying 6y2 + -6p2 + -5py = 0 Reorder the terms: -5py + -6p2 + 6y2 = 0 Solving -5py + -6p2 + 6y2 = 0 Solving for variable 'p'. Factor a trinomial. (-2p + -3y)(3p + -2y) = 0Subproblem 1
Set the factor '(-2p + -3y)' equal to zero and attempt to solve: Simplifying -2p + -3y = 0 Solving -2p + -3y = 0 Move all terms containing p to the left, all other terms to the right. Add '3y' to each side of the equation. -2p + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 -2p + 0 = 0 + 3y -2p = 0 + 3y Remove the zero: -2p = 3y Divide each side by '-2'. p = -1.5y Simplifying p = -1.5ySubproblem 2
Set the factor '(3p + -2y)' equal to zero and attempt to solve: Simplifying 3p + -2y = 0 Solving 3p + -2y = 0 Move all terms containing p to the left, all other terms to the right. Add '2y' to each side of the equation. 3p + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 3p + 0 = 0 + 2y 3p = 0 + 2y Remove the zero: 3p = 2y Divide each side by '3'. p = 0.6666666667y Simplifying p = 0.6666666667ySolution
p = {-1.5y, 0.6666666667y}
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