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Simplifying 4p2 = 13p + -10 Reorder the terms: 4p2 = -10 + 13p Solving 4p2 = -10 + 13p Solving for variable 'p'. Reorder the terms: 10 + -13p + 4p2 = -10 + 13p + 10 + -13p Reorder the terms: 10 + -13p + 4p2 = -10 + 10 + 13p + -13p Combine like terms: -10 + 10 = 0 10 + -13p + 4p2 = 0 + 13p + -13p 10 + -13p + 4p2 = 13p + -13p Combine like terms: 13p + -13p = 0 10 + -13p + 4p2 = 0 Factor a trinomial. (5 + -4p)(2 + -1p) = 0Subproblem 1
Set the factor '(5 + -4p)' equal to zero and attempt to solve: Simplifying 5 + -4p = 0 Solving 5 + -4p = 0 Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4p = 0 + -5 -4p = 0 + -5 Combine like terms: 0 + -5 = -5 -4p = -5 Divide each side by '-4'. p = 1.25 Simplifying p = 1.25Subproblem 2
Set the factor '(2 + -1p)' equal to zero and attempt to solve: Simplifying 2 + -1p = 0 Solving 2 + -1p = 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 + -1p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1p = 0 + -2 -1p = 0 + -2 Combine like terms: 0 + -2 = -2 -1p = -2 Divide each side by '-1'. p = 2 Simplifying p = 2Solution
p = {1.25, 2}
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