p^2-10pq+16q^2=

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Solution for p^2-10pq+16q^2= equation: 


Simplifying
p2 + -10pq + 16q2 = 0

Reorder the terms:
-10pq + p2 + 16q2 = 0

Solving
-10pq + p2 + 16q2 = 0

Solving for variable 'p'.

Factor a trinomial.
(p + -8q)(p + -2q) = 0


Subproblem 1
Set the factor '(p + -8q)' equal to zero and attempt to solve:

Simplifying
p + -8q = 0

Solving
p + -8q = 0

Move all terms containing p to the left, all other terms to the right.

Add '8q' to each side of the equation.
p + -8q + 8q = 0 + 8q

Combine like terms: -8q + 8q = 0
p + 0 = 0 + 8q
p = 0 + 8q
Remove the zero:
p = 8q

Simplifying
p = 8q

Subproblem 2
Set the factor '(p + -2q)' equal to zero and attempt to solve:

Simplifying
p + -2q = 0

Solving
p + -2q = 0

Move all terms containing p to the left, all other terms to the right.

Add '2q' to each side of the equation.
p + -2q + 2q = 0 + 2q

Combine like terms: -2q + 2q = 0
p + 0 = 0 + 2q
p = 0 + 2q
Remove the zero:
p = 2q

Simplifying
p = 2q
Solution
p = {8q, 2q}

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