p^2+56=15p

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Solution for p^2+56=15p equation:


Simplifying
p2 + 56 = 15p

Reorder the terms:
56 + p2 = 15p

Solving
56 + p2 = 15p

Solving for variable 'p'.

Reorder the terms:
56 + -15p + p2 = 15p + -15p

Combine like terms: 15p + -15p = 0
56 + -15p + p2 = 0

Factor a trinomial.
(7 + -1p)(8 + -1p) = 0

Subproblem 1

Set the factor '(7 + -1p)' equal to zero and attempt to solve: Simplifying 7 + -1p = 0 Solving 7 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1p = 0 + -7 -1p = 0 + -7 Combine like terms: 0 + -7 = -7 -1p = -7 Divide each side by '-1'. p = 7 Simplifying p = 7

Subproblem 2

Set the factor '(8 + -1p)' equal to zero and attempt to solve: Simplifying 8 + -1p = 0 Solving 8 + -1p = 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 + -1p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1p = 0 + -8 -1p = 0 + -8 Combine like terms: 0 + -8 = -8 -1p = -8 Divide each side by '-1'. p = 8 Simplifying p = 8

Solution

p = {7, 8}

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