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Simplifying 5p2 + 6 = -31p Reorder the terms: 6 + 5p2 = -31p Solving 6 + 5p2 = -31p Solving for variable 'p'. Reorder the terms: 6 + 31p + 5p2 = -31p + 31p Combine like terms: -31p + 31p = 0 6 + 31p + 5p2 = 0 Factor a trinomial. (6 + p)(1 + 5p) = 0Subproblem 1
Set the factor '(6 + p)' equal to zero and attempt to solve: Simplifying 6 + p = 0 Solving 6 + p = 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 + p = 0 + -6 Combine like terms: 6 + -6 = 0 0 + p = 0 + -6 p = 0 + -6 Combine like terms: 0 + -6 = -6 p = -6 Simplifying p = -6Subproblem 2
Set the factor '(1 + 5p)' equal to zero and attempt to solve: Simplifying 1 + 5p = 0 Solving 1 + 5p = 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 + 5p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5p = 0 + -1 5p = 0 + -1 Combine like terms: 0 + -1 = -1 5p = -1 Divide each side by '5'. p = -0.2 Simplifying p = -0.2Solution
p = {-6, -0.2}
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