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Simplifying 14p2 + -47p + -7 = 0 Reorder the terms: -7 + -47p + 14p2 = 0 Solving -7 + -47p + 14p2 = 0 Solving for variable 'p'. Factor a trinomial. (-1 + -7p)(7 + -2p) = 0Subproblem 1
Set the factor '(-1 + -7p)' equal to zero and attempt to solve: Simplifying -1 + -7p = 0 Solving -1 + -7p = 0 Move all terms containing p to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -7p = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -7p = 0 + 1 -7p = 0 + 1 Combine like terms: 0 + 1 = 1 -7p = 1 Divide each side by '-7'. p = -0.1428571429 Simplifying p = -0.1428571429Subproblem 2
Set the factor '(7 + -2p)' equal to zero and attempt to solve: Simplifying 7 + -2p = 0 Solving 7 + -2p = 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 + -2p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2p = 0 + -7 -2p = 0 + -7 Combine like terms: 0 + -7 = -7 -2p = -7 Divide each side by '-2'. p = 3.5 Simplifying p = 3.5Solution
p = {-0.1428571429, 3.5}
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