t(5t-9)-2t=0

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Solution for t(5t-9)-2t=0 equation: 


Simplifying
t(5t + -9) + -2t = 0

Reorder the terms:
t(-9 + 5t) + -2t = 0
(-9 * t + 5t * t) + -2t = 0
(-9t + 5t2) + -2t = 0

Reorder the terms:
-9t + -2t + 5t2 = 0

Combine like terms: -9t + -2t = -11t
-11t + 5t2 = 0

Solving
-11t + 5t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(-11 + 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 '(-11 + 5t)' equal to zero and attempt to solve:

Simplifying
-11 + 5t = 0

Solving
-11 + 5t = 0

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

Add '11' to each side of the equation.
-11 + 11 + 5t = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 5t = 0 + 11
5t = 0 + 11

Combine like terms: 0 + 11 = 11
5t = 11

Divide each side by '5'.
t = 2.2

Simplifying
t = 2.2
Solution
t = {0, 2.2}

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