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Simplifying p2 = 6p + -8 Reorder the terms: p2 = -8 + 6p Solving p2 = -8 + 6p Solving for variable 'p'. Reorder the terms: 8 + -6p + p2 = -8 + 6p + 8 + -6p Reorder the terms: 8 + -6p + p2 = -8 + 8 + 6p + -6p Combine like terms: -8 + 8 = 0 8 + -6p + p2 = 0 + 6p + -6p 8 + -6p + p2 = 6p + -6p Combine like terms: 6p + -6p = 0 8 + -6p + p2 = 0 Factor a trinomial. (2 + -1p)(4 + -1p) = 0Subproblem 1
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 = 2Subproblem 2
Set the factor '(4 + -1p)' equal to zero and attempt to solve: Simplifying 4 + -1p = 0 Solving 4 + -1p = 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 + -1p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1p = 0 + -4 -1p = 0 + -4 Combine like terms: 0 + -4 = -4 -1p = -4 Divide each side by '-1'. p = 4 Simplifying p = 4Solution
p = {2, 4}
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