p^2-10p+25=100

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Solution for p^2-10p+25=100 equation:


Simplifying
p2 + -10p + 25 = 100

Reorder the terms:
25 + -10p + p2 = 100

Solving
25 + -10p + p2 = 100

Solving for variable 'p'.

Reorder the terms:
25 + -100 + -10p + p2 = 100 + -100

Combine like terms: 25 + -100 = -75
-75 + -10p + p2 = 100 + -100

Combine like terms: 100 + -100 = 0
-75 + -10p + p2 = 0

Factor a trinomial.
(-5 + -1p)(15 + -1p) = 0

Subproblem 1

Set the factor '(-5 + -1p)' equal to zero and attempt to solve: Simplifying -5 + -1p = 0 Solving -5 + -1p = 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 + -1p = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1p = 0 + 5 -1p = 0 + 5 Combine like terms: 0 + 5 = 5 -1p = 5 Divide each side by '-1'. p = -5 Simplifying p = -5

Subproblem 2

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

Solution

p = {-5, 15}

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