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Simplifying 25p2 = -8 + 30p Solving 25p2 = -8 + 30p Solving for variable 'p'. Reorder the terms: 8 + -30p + 25p2 = -8 + 30p + 8 + -30p Reorder the terms: 8 + -30p + 25p2 = -8 + 8 + 30p + -30p Combine like terms: -8 + 8 = 0 8 + -30p + 25p2 = 0 + 30p + -30p 8 + -30p + 25p2 = 30p + -30p Combine like terms: 30p + -30p = 0 8 + -30p + 25p2 = 0 Factor a trinomial. (2 + -5p)(4 + -5p) = 0Subproblem 1
Set the factor '(2 + -5p)' equal to zero and attempt to solve: Simplifying 2 + -5p = 0 Solving 2 + -5p = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5p = 0 + -2 -5p = 0 + -2 Combine like terms: 0 + -2 = -2 -5p = -2 Divide each side by '-5'. p = 0.4 Simplifying p = 0.4Subproblem 2
Set the factor '(4 + -5p)' equal to zero and attempt to solve: Simplifying 4 + -5p = 0 Solving 4 + -5p = 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 + -5p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5p = 0 + -4 -5p = 0 + -4 Combine like terms: 0 + -4 = -4 -5p = -4 Divide each side by '-5'. p = 0.8 Simplifying p = 0.8Solution
p = {0.4, 0.8}
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