(3t^2-t-8)(4t^2+3t)(-1)=

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Solution for (3t^2-t-8)(4t^2+3t)(-1)= equation: 


Simplifying
(3t2 + -1t + -8)(4t2 + 3t)(-1) = 0

Reorder the terms:
(-8 + -1t + 3t2)(4t2 + 3t)(-1) = 0

Reorder the terms:
(-8 + -1t + 3t2)(3t + 4t2)(-1) = 0

Reorder the terms for easier multiplication:
-1(-8 + -1t + 3t2)(3t + 4t2) = 0

Multiply (-8 + -1t + 3t2) * (3t + 4t2)
-1(-8(3t + 4t2) + -1t * (3t + 4t2) + 3t2 * (3t + 4t2)) = 0
-1((3t * -8 + 4t2 * -8) + -1t * (3t + 4t2) + 3t2 * (3t + 4t2)) = 0
-1((-24t + -32t2) + -1t * (3t + 4t2) + 3t2 * (3t + 4t2)) = 0
-1(-24t + -32t2 + (3t * -1t + 4t2 * -1t) + 3t2 * (3t + 4t2)) = 0
-1(-24t + -32t2 + (-3t2 + -4t3) + 3t2 * (3t + 4t2)) = 0
-1(-24t + -32t2 + -3t2 + -4t3 + (3t * 3t2 + 4t2 * 3t2)) = 0
-1(-24t + -32t2 + -3t2 + -4t3 + (9t3 + 12t4)) = 0

Combine like terms: -32t2 + -3t2 = -35t2
-1(-24t + -35t2 + -4t3 + 9t3 + 12t4) = 0

Combine like terms: -4t3 + 9t3 = 5t3
-1(-24t + -35t2 + 5t3 + 12t4) = 0
(-24t * -1 + -35t2 * -1 + 5t3 * -1 + 12t4 * -1) = 0
(24t + 35t2 + -5t3 + -12t4) = 0

Solving
24t + 35t2 + -5t3 + -12t4 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(24 + 35t + -5t2 + -12t3) = 0


Subproblem 1
Set the factor 't' equal to zero and attempt to solve:

Simplifying
t = 0

Solving
t = 0

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

Simplifying
t = 0

Subproblem 2
Set the factor '(24 + 35t + -5t2 + -12t3)' equal to zero and attempt to solve:

Simplifying
24 + 35t + -5t2 + -12t3 = 0

Solving
24 + 35t + -5t2 + -12t3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
t = {0}

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