t(3t-8)=0

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Solution for t(3t-8)=0 equation: 


Simplifying
t(3t + -8) = 0

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

Solving
-8t + 3t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(-8 + 3t) = 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 '(-8 + 3t)' equal to zero and attempt to solve:

Simplifying
-8 + 3t = 0

Solving
-8 + 3t = 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 + 3t = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 3t = 0 + 8
3t = 0 + 8

Combine like terms: 0 + 8 = 8
3t = 8

Divide each side by '3'.
t = 2.666666667

Simplifying
t = 2.666666667
Solution
t = {0, 2.666666667}

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