p^2-20p+64=0

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Solution for p^2-20p+64=0 equation:


Simplifying
p2 + -20p + 64 = 0

Reorder the terms:
64 + -20p + p2 = 0

Solving
64 + -20p + p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(4 + -1p)(16 + -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 '(16 + -1p)' equal to zero and attempt to solve: Simplifying 16 + -1p = 0 Solving 16 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1p = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1p = 0 + -16 -1p = 0 + -16 Combine like terms: 0 + -16 = -16 -1p = -16 Divide each side by '-1'. p = 16 Simplifying p = 16

Solution

p = {4, 16}

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