-6t(3t-8)=0

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Solution for -6t(3t-8)=0 equation: 


Simplifying
-6t(3t + -8) = 0

Reorder the terms:
-6t(-8 + 3t) = 0
(-8 * -6t + 3t * -6t) = 0
(48t + -18t2) = 0

Solving
48t + -18t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '6t'.
6t(8 + -3t) = 0

Ignore the factor 6.

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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