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Simplifying (7p + -2)(p + -6) = 0 Reorder the terms: (-2 + 7p)(p + -6) = 0 Reorder the terms: (-2 + 7p)(-6 + p) = 0 Multiply (-2 + 7p) * (-6 + p) (-2(-6 + p) + 7p * (-6 + p)) = 0 ((-6 * -2 + p * -2) + 7p * (-6 + p)) = 0 ((12 + -2p) + 7p * (-6 + p)) = 0 (12 + -2p + (-6 * 7p + p * 7p)) = 0 (12 + -2p + (-42p + 7p2)) = 0 Combine like terms: -2p + -42p = -44p (12 + -44p + 7p2) = 0 Solving 12 + -44p + 7p2 = 0 Solving for variable 'p'. Factor a trinomial. (2 + -7p)(6 + -1p) = 0Subproblem 1
Set the factor '(2 + -7p)' equal to zero and attempt to solve: Simplifying 2 + -7p = 0 Solving 2 + -7p = 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 + -7p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7p = 0 + -2 -7p = 0 + -2 Combine like terms: 0 + -2 = -2 -7p = -2 Divide each side by '-7'. p = 0.2857142857 Simplifying p = 0.2857142857Subproblem 2
Set the factor '(6 + -1p)' equal to zero and attempt to solve: Simplifying 6 + -1p = 0 Solving 6 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1p = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1p = 0 + -6 -1p = 0 + -6 Combine like terms: 0 + -6 = -6 -1p = -6 Divide each side by '-1'. p = 6 Simplifying p = 6Solution
p = {0.2857142857, 6}
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