Solve the equation t+4/t+3/t-4=-16/t^2-4t

The given equation can be  written as

The factors of the equation is

Step-by-step explanation:

Given equation is

Now to solve the given equation:

Multiply the above equation into on both sides

Adding the like terms

Rewritting the above equation

We can solve this equation by synthetic division method

-1_|   5     -4       7     16

       0     -5       9    -16

    _______________

      5      -9       16     0

Therefore t+1 is a factor of this cubic equation

We have the quadratic equation

For quadratic equation the solution is

where a and b are coefficients of and x respectively

Here a=5 ,b=-9 and c=16

where

Therefore and

Therefore  the factors are t+1, and

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step-by-step explanation:

a is the correct