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Simplifying 5p2 = 6 + -29p Solving 5p2 = 6 + -29p Solving for variable 'p'. Reorder the terms: -6 + 29p + 5p2 = 6 + -29p + -6 + 29p Reorder the terms: -6 + 29p + 5p2 = 6 + -6 + -29p + 29p Combine like terms: 6 + -6 = 0 -6 + 29p + 5p2 = 0 + -29p + 29p -6 + 29p + 5p2 = -29p + 29p Combine like terms: -29p + 29p = 0 -6 + 29p + 5p2 = 0 Factor a trinomial. (-6 + -1p)(1 + -5p) = 0Subproblem 1
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 = -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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