4t^6(t-t^2+4t^3)=

Solution for 4t^6(t-t^2+4t^3)= equation:

Simplifying
4t6(t + -1t2 + 4t3) = 0
(t * 4t6 + -1t2 * 4t6 + 4t3 * 4t6) = 0
(4t7 + -4t8 + 16t9) = 0

Solving
4t7 + -4t8 + 16t9 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '4t7'.
4t7(1 + -1t + 4t2) = 0

Ignore the factor 4.
Subproblem 1
Set the factor 't7' equal to zero and attempt to solve:

Simplifying
t7 = 0

Solving
t7 = 0

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

Simplifying
t7 = 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 + 4t2)' equal to zero and attempt to solve:

Simplifying
1 + -1t + 4t2 = 0

Solving
1 + -1t + 4t2 = 0

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

Divide each side by '4'.
0.25 + -0.25t + t2 = 0

Move the constant term to the right:

Add '-0.25' to each side of the equation.
0.25 + -0.25t + -0.25 + t2 = 0 + -0.25

Reorder the terms:
0.25 + -0.25 + -0.25t + t2 = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + -0.25t + t2 = 0 + -0.25
-0.25t + t2 = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
-0.25t + t2 = -0.25

The t term is -0.25t.  Take half its coefficient (-0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
-0.25t + 0.015625 + t2 = -0.25 + 0.015625

Reorder the terms:
0.015625 + -0.25t + t2 = -0.25 + 0.015625

Combine like terms: -0.25 + 0.015625 = -0.234375
0.015625 + -0.25t + t2 = -0.234375

Factor a perfect square on the left side:
(t + -0.125)(t + -0.125) = -0.234375

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.