t(5t-2)=0

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


Simplifying
t(5t + -2) = 0

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

Solving
-2t + 5t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(-2 + 5t) = 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 '(-2 + 5t)' equal to zero and attempt to solve:

Simplifying
-2 + 5t = 0

Solving
-2 + 5t = 0

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

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

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

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

Divide each side by '5'.
t = 0.4

Simplifying
t = 0.4
Solution
t = {0, 0.4}

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