s^2-8sz+15z^2=

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Solution for s^2-8sz+15z^2= equation:


Simplifying
s2 + -8sz + 15z2 = 0

Reorder the terms:
-8sz + s2 + 15z2 = 0

Solving
-8sz + s2 + 15z2 = 0

Solving for variable 's'.

Factor a trinomial.
(s + -5z)(s + -3z) = 0

Subproblem 1

Set the factor '(s + -5z)' equal to zero and attempt to solve: Simplifying s + -5z = 0 Solving s + -5z = 0 Move all terms containing s to the left, all other terms to the right. Add '5z' to each side of the equation. s + -5z + 5z = 0 + 5z Combine like terms: -5z + 5z = 0 s + 0 = 0 + 5z s = 0 + 5z Remove the zero: s = 5z Simplifying s = 5z

Subproblem 2

Set the factor '(s + -3z)' equal to zero and attempt to solve: Simplifying s + -3z = 0 Solving s + -3z = 0 Move all terms containing s to the left, all other terms to the right. Add '3z' to each side of the equation. s + -3z + 3z = 0 + 3z Combine like terms: -3z + 3z = 0 s + 0 = 0 + 3z s = 0 + 3z Remove the zero: s = 3z Simplifying s = 3z

Solution

s = {5z, 3z}

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