3t^3+2t-t^2=0

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Solution for 3t^3+2t-t^2=0 equation: 


Simplifying
3t3 + 2t + -1t2 = 0

Reorder the terms:
2t + -1t2 + 3t3 = 0

Solving
2t + -1t2 + 3t3 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(2 + -1t + 3t2) = 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 '(2 + -1t + 3t2)' equal to zero and attempt to solve:

Simplifying
2 + -1t + 3t2 = 0

Solving
2 + -1t + 3t2 = 0

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
0.6666666667 + -0.3333333333t + t2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + -0.3333333333t + -0.6666666667 + t2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + -0.3333333333t + t2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + -0.3333333333t + t2 = 0 + -0.6666666667
-0.3333333333t + t2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
-0.3333333333t + t2 = -0.6666666667

The t term is -0.3333333333t.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333t + 0.02777777779 + t2 = -0.6666666667 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333t + t2 = -0.6666666667 + 0.02777777779

Combine like terms: -0.6666666667 + 0.02777777779 = -0.63888888891
0.02777777779 + -0.3333333333t + t2 = -0.63888888891

Factor a perfect square on the left side:
(t + -0.1666666667)(t + -0.1666666667) = -0.63888888891

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
t = {0}

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