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Simplifying 7p2 + 25p + 12 = 0 Reorder the terms: 12 + 25p + 7p2 = 0 Solving 12 + 25p + 7p2 = 0 Solving for variable 'p'. Factor a trinomial. (3 + p)(4 + 7p) = 0Subproblem 1
Set the factor '(3 + p)' equal to zero and attempt to solve: Simplifying 3 + p = 0 Solving 3 + p = 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 + p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + p = 0 + -3 p = 0 + -3 Combine like terms: 0 + -3 = -3 p = -3 Simplifying p = -3Subproblem 2
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 = -0.5714285714Solution
p = {-3, -0.5714285714}
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