t(4t-9)=0

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Solution for t(4t-9)=0 equation: 


Simplifying
t(4t + -9) = 0

Reorder the terms:
t(-9 + 4t) = 0
(-9 * t + 4t * t) = 0
(-9t + 4t2) = 0

Solving
-9t + 4t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(-9 + 4t) = 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 '(-9 + 4t)' equal to zero and attempt to solve:

Simplifying
-9 + 4t = 0

Solving
-9 + 4t = 0

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

Add '9' to each side of the equation.
-9 + 9 + 4t = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 4t = 0 + 9
4t = 0 + 9

Combine like terms: 0 + 9 = 9
4t = 9

Divide each side by '4'.
t = 2.25

Simplifying
t = 2.25
Solution
t = {0, 2.25}

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