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Simplifying 14p2 + 12 = 29p Reorder the terms: 12 + 14p2 = 29p Solving 12 + 14p2 = 29p Solving for variable 'p'. Reorder the terms: 12 + -29p + 14p2 = 29p + -29p Combine like terms: 29p + -29p = 0 12 + -29p + 14p2 = 0 Factor a trinomial. (4 + -7p)(3 + -2p) = 0Subproblem 1
Set the factor '(4 + -7p)' equal to zero and attempt to solve: Simplifying 4 + -7p = 0 Solving 4 + -7p = 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 + -7p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7p = 0 + -4 -7p = 0 + -4 Combine like terms: 0 + -4 = -4 -7p = -4 Divide each side by '-7'. p = 0.5714285714 Simplifying p = 0.5714285714Subproblem 2
Set the factor '(3 + -2p)' equal to zero and attempt to solve: Simplifying 3 + -2p = 0 Solving 3 + -2p = 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 + -2p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2p = 0 + -3 -2p = 0 + -3 Combine like terms: 0 + -3 = -3 -2p = -3 Divide each side by '-2'. p = 1.5 Simplifying p = 1.5Solution
p = {0.5714285714, 1.5}
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