16s^2+40st+25t^2=

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Solution for 16s^2+40st+25t^2= equation:


Simplifying
16s2 + 40st + 25t2 = 0

Reorder the terms:
40st + 16s2 + 25t2 = 0

Solving
40st + 16s2 + 25t2 = 0

Solving for variable 's'.

Factor a trinomial.
(4s + 5t)(4s + 5t) = 0

Subproblem 1

Set the factor '(4s + 5t)' equal to zero and attempt to solve: Simplifying 4s + 5t = 0 Solving 4s + 5t = 0 Move all terms containing s to the left, all other terms to the right. Add '-5t' to each side of the equation. 4s + 5t + -5t = 0 + -5t Combine like terms: 5t + -5t = 0 4s + 0 = 0 + -5t 4s = 0 + -5t Remove the zero: 4s = -5t Divide each side by '4'. s = -1.25t Simplifying s = -1.25t

Subproblem 2

Set the factor '(4s + 5t)' equal to zero and attempt to solve: Simplifying 4s + 5t = 0 Solving 4s + 5t = 0 Move all terms containing s to the left, all other terms to the right. Add '-5t' to each side of the equation. 4s + 5t + -5t = 0 + -5t Combine like terms: 5t + -5t = 0 4s + 0 = 0 + -5t 4s = 0 + -5t Remove the zero: 4s = -5t Divide each side by '4'. s = -1.25t Simplifying s = -1.25t

Solution

s = {-1.25t, -1.25t}

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