t(5t-9)2t=

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


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

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

Reorder the terms for easier multiplication:
2t * t(-9 + 5t) = 0

Multiply t * t
2t2(-9 + 5t) = 0
(-9 * 2t2 + 5t * 2t2) = 0
(-18t2 + 10t3) = 0

Solving
-18t2 + 10t3 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2t2'.
2t2(-9 + 5t) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 't2' equal to zero and attempt to solve:

Simplifying
t2 = 0

Solving
t2 = 0

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

Simplifying
t2 = 0

Take the square root of each side:
t = {0}

Subproblem 2
Set the factor '(-9 + 5t)' equal to zero and attempt to solve:

Simplifying
-9 + 5t = 0

Solving
-9 + 5t = 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 + 5t = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 5t = 0 + 9
5t = 0 + 9

Combine like terms: 0 + 9 = 9
5t = 9

Divide each side by '5'.
t = 1.8

Simplifying
t = 1.8
Solution
t = {0, 1.8}

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