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Simplifying 25p2 + 45p + 8 = 0 Reorder the terms: 8 + 45p + 25p2 = 0 Solving 8 + 45p + 25p2 = 0 Solving for variable 'p'. Factor a trinomial. (8 + 5p)(1 + 5p) = 0Subproblem 1
Set the factor '(8 + 5p)' equal to zero and attempt to solve: Simplifying 8 + 5p = 0 Solving 8 + 5p = 0 Move all terms containing p to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5p = 0 + -8 5p = 0 + -8 Combine like terms: 0 + -8 = -8 5p = -8 Divide each side by '5'. p = -1.6 Simplifying p = -1.6Subproblem 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 = {-1.6, -0.2}
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