3t(4t-32)=0

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Solution for 3t(4t-32)=0 equation: 


Simplifying
3t(4t + -32) = 0

Reorder the terms:
3t(-32 + 4t) = 0
(-32 * 3t + 4t * 3t) = 0
(-96t + 12t2) = 0

Solving
-96t + 12t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '12t'.
12t(-8 + t) = 0

Ignore the factor 12.

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 '(-8 + t)' equal to zero and attempt to solve:

Simplifying
-8 + t = 0

Solving
-8 + t = 0

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

Add '8' to each side of the equation.
-8 + 8 + t = 0 + 8

Combine like terms: -8 + 8 = 0
0 + t = 0 + 8
t = 0 + 8

Combine like terms: 0 + 8 = 8
t = 8

Simplifying
t = 8
Solution
t = {0, 8}

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