6t^3(t-t^2+2t^3)=

Solution for 6t^3(t-t^2+2t^3)= equation:

Simplifying
6t3(t + -1t2 + 2t3) = 0
(t * 6t3 + -1t2 * 6t3 + 2t3 * 6t3) = 0
(6t4 + -6t5 + 12t6) = 0

Solving
6t4 + -6t5 + 12t6 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '6t4'.
6t4(1 + -1t + 2t2) = 0

Ignore the factor 6.
Subproblem 1
Set the factor 't4' equal to zero and attempt to solve:

Simplifying
t4 = 0

Solving
t4 = 0

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

Simplifying
t4 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(1 + -1t + 2t2)' equal to zero and attempt to solve:

Simplifying
1 + -1t + 2t2 = 0

Solving
1 + -1t + 2t2 = 0

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

Divide each side by '2'.
0.5 + -0.5t + t2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -0.5t + -0.5 + t2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -0.5t + t2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.5t + t2 = 0 + -0.5
-0.5t + t2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-0.5t + t2 = -0.5

The t term is -0.5t.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5t + 0.0625 + t2 = -0.5 + 0.0625

Reorder the terms:
0.0625 + -0.5t + t2 = -0.5 + 0.0625

Combine like terms: -0.5 + 0.0625 = -0.4375
0.0625 + -0.5t + t2 = -0.4375

Factor a perfect square on the left side:
(t + -0.25)(t + -0.25) = -0.4375

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.

The solution to this equation could not be determined.