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Simplifying (3p + 7)(p + -3) = 0 Reorder the terms: (7 + 3p)(p + -3) = 0 Reorder the terms: (7 + 3p)(-3 + p) = 0 Multiply (7 + 3p) * (-3 + p) (7(-3 + p) + 3p * (-3 + p)) = 0 ((-3 * 7 + p * 7) + 3p * (-3 + p)) = 0 ((-21 + 7p) + 3p * (-3 + p)) = 0 (-21 + 7p + (-3 * 3p + p * 3p)) = 0 (-21 + 7p + (-9p + 3p2)) = 0 Combine like terms: 7p + -9p = -2p (-21 + -2p + 3p2) = 0 Solving -21 + -2p + 3p2 = 0 Solving for variable 'p'. Factor a trinomial. (-7 + -3p)(3 + -1p) = 0Subproblem 1
Set the factor '(-7 + -3p)' equal to zero and attempt to solve: Simplifying -7 + -3p = 0 Solving -7 + -3p = 0 Move all terms containing p to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -3p = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3p = 0 + 7 -3p = 0 + 7 Combine like terms: 0 + 7 = 7 -3p = 7 Divide each side by '-3'. p = -2.333333333 Simplifying p = -2.333333333Subproblem 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 = {-2.333333333, 3}
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