(4s-5t)(4s+4t)=

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Solution for (4s-5t)(4s+4t)= equation: 


Simplifying
(4s + -5t)(4s + 4t) = 0

Multiply (4s + -5t) * (4s + 4t)
(4s * (4s + 4t) + -5t * (4s + 4t)) = 0
((4s * 4s + 4t * 4s) + -5t * (4s + 4t)) = 0

Reorder the terms:
((16st + 16s2) + -5t * (4s + 4t)) = 0
((16st + 16s2) + -5t * (4s + 4t)) = 0
(16st + 16s2 + (4s * -5t + 4t * -5t)) = 0
(16st + 16s2 + (-20st + -20t2)) = 0

Reorder the terms:
(16st + -20st + 16s2 + -20t2) = 0

Combine like terms: 16st + -20st = -4st
(-4st + 16s2 + -20t2) = 0

Solving
-4st + 16s2 + -20t2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-1st + 4s2 + -5t2) = 0

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

Ignore the factor 4.

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 '(s + t)' equal to zero and attempt to solve:

Simplifying
s + t = 0

Solving
s + t = 0

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

Add '-1t' to each side of the equation.
s + t + -1t = 0 + -1t

Combine like terms: t + -1t = 0
s + 0 = 0 + -1t
s = 0 + -1t
Remove the zero:
s = -1t

Simplifying
s = -1t
Solution
s = {1.25t, -1t}

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