-5t^2+9t+2t=0

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Solution for -5t^2+9t+2t=0 equation: 


Simplifying
-5t2 + 9t + 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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