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Simplifying (44 + -3p)(p + -3) = 0 Reorder the terms: (44 + -3p)(-3 + p) = 0 Multiply (44 + -3p) * (-3 + p) (44(-3 + p) + -3p * (-3 + p)) = 0 ((-3 * 44 + p * 44) + -3p * (-3 + p)) = 0 ((-132 + 44p) + -3p * (-3 + p)) = 0 (-132 + 44p + (-3 * -3p + p * -3p)) = 0 (-132 + 44p + (9p + -3p2)) = 0 Combine like terms: 44p + 9p = 53p (-132 + 53p + -3p2) = 0 Solving -132 + 53p + -3p2 = 0 Solving for variable 'p'. Factor a trinomial. (-44 + 3p)(3 + -1p) = 0Subproblem 1
Set the factor '(-44 + 3p)' equal to zero and attempt to solve: Simplifying -44 + 3p = 0 Solving -44 + 3p = 0 Move all terms containing p to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + 3p = 0 + 44 Combine like terms: -44 + 44 = 0 0 + 3p = 0 + 44 3p = 0 + 44 Combine like terms: 0 + 44 = 44 3p = 44 Divide each side by '3'. p = 14.66666667 Simplifying p = 14.66666667Subproblem 2
Set the factor '(3 + -1p)' equal to zero and attempt to solve: Simplifying 3 + -1p = 0 Solving 3 + -1p = 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 + -1p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1p = 0 + -3 -1p = 0 + -3 Combine like terms: 0 + -3 = -3 -1p = -3 Divide each side by '-1'. p = 3 Simplifying p = 3Solution
p = {14.66666667, 3}
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