(3t-8)(3t-8)=0

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


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

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

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

Multiply (-8 + 3t) * (-8 + 3t)
(-8(-8 + 3t) + 3t * (-8 + 3t)) = 0
((-8 * -8 + 3t * -8) + 3t * (-8 + 3t)) = 0
((64 + -24t) + 3t * (-8 + 3t)) = 0
(64 + -24t + (-8 * 3t + 3t * 3t)) = 0
(64 + -24t + (-24t + 9t2)) = 0

Combine like terms: -24t + -24t = -48t
(64 + -48t + 9t2) = 0

Solving
64 + -48t + 9t2 = 0

Solving for variable 't'.

Factor a trinomial.
(8 + -3t)(8 + -3t) = 0


Subproblem 1
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

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 = {2.666666667, 2.666666667}

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