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