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Simplifying (3p + -2)(p + -4) = 0 Reorder the terms: (-2 + 3p)(p + -4) = 0 Reorder the terms: (-2 + 3p)(-4 + p) = 0 Multiply (-2 + 3p) * (-4 + p) (-2(-4 + p) + 3p * (-4 + p)) = 0 ((-4 * -2 + p * -2) + 3p * (-4 + p)) = 0 ((8 + -2p) + 3p * (-4 + p)) = 0 (8 + -2p + (-4 * 3p + p * 3p)) = 0 (8 + -2p + (-12p + 3p2)) = 0 Combine like terms: -2p + -12p = -14p (8 + -14p + 3p2) = 0 Solving 8 + -14p + 3p2 = 0 Solving for variable 'p'. Factor a trinomial. (2 + -3p)(4 + -1p) = 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 '(4 + -1p)' equal to zero and attempt to solve: Simplifying 4 + -1p = 0 Solving 4 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1p = 0 + -4 -1p = 0 + -4 Combine like terms: 0 + -4 = -4 -1p = -4 Divide each side by '-1'. p = 4 Simplifying p = 4Solution
p = {0.6666666667, 4}
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