8p+p^2=105

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Solution for 8p+p^2=105 equation:


Simplifying
8p + p2 = 105

Solving
8p + p2 = 105

Solving for variable 'p'.

Reorder the terms:
-105 + 8p + p2 = 105 + -105

Combine like terms: 105 + -105 = 0
-105 + 8p + p2 = 0

Factor a trinomial.
(-15 + -1p)(7 + -1p) = 0

Subproblem 1

Set the factor '(-15 + -1p)' equal to zero and attempt to solve: Simplifying -15 + -1p = 0 Solving -15 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1p = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1p = 0 + 15 -1p = 0 + 15 Combine like terms: 0 + 15 = 15 -1p = 15 Divide each side by '-1'. p = -15 Simplifying p = -15

Subproblem 2

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

Solution

p = {-15, 7}

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