5t(4t-5)=0

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Solution for 5t(4t-5)=0 equation: 


Simplifying
5t(4t + -5) = 0

Reorder the terms:
5t(-5 + 4t) = 0
(-5 * 5t + 4t * 5t) = 0
(-25t + 20t2) = 0

Solving
-25t + 20t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '5t'.
5t(-5 + 4t) = 0

Ignore the factor 5.

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 + 4t)' equal to zero and attempt to solve:

Simplifying
-5 + 4t = 0

Solving
-5 + 4t = 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 + 4t = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 4t = 0 + 5
4t = 0 + 5

Combine like terms: 0 + 5 = 5
4t = 5

Divide each side by '4'.
t = 1.25

Simplifying
t = 1.25
Solution
t = {0, 1.25}

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