6t^2+13t=0

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Solution for 6t^2+13t=0 equation: 


Simplifying
6t2 + 13t = 0

Reorder the terms:
13t + 6t2 = 0

Solving
13t + 6t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(13 + 6t) = 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 '(13 + 6t)' equal to zero and attempt to solve:

Simplifying
13 + 6t = 0

Solving
13 + 6t = 0

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

Add '-13' to each side of the equation.
13 + -13 + 6t = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 6t = 0 + -13
6t = 0 + -13

Combine like terms: 0 + -13 = -13
6t = -13

Divide each side by '6'.
t = -2.166666667

Simplifying
t = -2.166666667
Solution
t = {0, -2.166666667}

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