p^2-10p=-24

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Solution for p^2-10p=-24 equation:


Simplifying
p2 + -10p = -24

Reorder the terms:
-10p + p2 = -24

Solving
-10p + p2 = -24

Solving for variable 'p'.

Reorder the terms:
24 + -10p + p2 = -24 + 24

Combine like terms: -24 + 24 = 0
24 + -10p + p2 = 0

Factor a trinomial.
(4 + -1p)(6 + -1p) = 0

Subproblem 1

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 = 4

Subproblem 2

Set the factor '(6 + -1p)' equal to zero and attempt to solve: Simplifying 6 + -1p = 0 Solving 6 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1p = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1p = 0 + -6 -1p = 0 + -6 Combine like terms: 0 + -6 = -6 -1p = -6 Divide each side by '-1'. p = 6 Simplifying p = 6

Solution

p = {4, 6}

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