8t(-2t+5)=0

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Solution for 8t(-2t+5)=0 equation: 


Simplifying
8t(-2t + 5) = 0

Reorder the terms:
8t(5 + -2t) = 0
(5 * 8t + -2t * 8t) = 0
(40t + -16t2) = 0

Solving
40t + -16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '8t'.
8t(5 + -2t) = 0

Ignore the factor 8.

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 '(5 + -2t)' equal to zero and attempt to solve:

Simplifying
5 + -2t = 0

Solving
5 + -2t = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2t = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2t = 0 + -5
-2t = 0 + -5

Combine like terms: 0 + -5 = -5
-2t = -5

Divide each side by '-2'.
t = 2.5

Simplifying
t = 2.5
Solution
t = {0, 2.5}

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