16r^2-8rs-3s^2=

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Solution for 16r^2-8rs-3s^2= equation: 


Simplifying
16r2 + -8rs + -3s2 = 0

Reorder the terms:
-8rs + 16r2 + -3s2 = 0

Solving
-8rs + 16r2 + -3s2 = 0

Solving for variable 'r'.

Factor a trinomial.
(4r + -3s)(4r + s) = 0


Subproblem 1
Set the factor '(4r + -3s)' equal to zero and attempt to solve:

Simplifying
4r + -3s = 0

Solving
4r + -3s = 0

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

Add '3s' to each side of the equation.
4r + -3s + 3s = 0 + 3s

Combine like terms: -3s + 3s = 0
4r + 0 = 0 + 3s
4r = 0 + 3s
Remove the zero:
4r = 3s

Divide each side by '4'.
r = 0.75s

Simplifying
r = 0.75s

Subproblem 2
Set the factor '(4r + s)' equal to zero and attempt to solve:

Simplifying
4r + s = 0

Solving
4r + s = 0

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

Add '-1s' to each side of the equation.
4r + s + -1s = 0 + -1s

Combine like terms: s + -1s = 0
4r + 0 = 0 + -1s
4r = 0 + -1s
Remove the zero:
4r = -1s

Divide each side by '4'.
r = -0.25s

Simplifying
r = -0.25s
Solution
r = {0.75s, -0.25s}

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