4t^5(t-t^2+5t^3)=

Solution for 4t^5(t-t^2+5t^3)= equation:

Simplifying
4t5(t + -1t2 + 5t3) = 0
(t * 4t5 + -1t2 * 4t5 + 5t3 * 4t5) = 0
(4t6 + -4t7 + 20t8) = 0

Solving
4t6 + -4t7 + 20t8 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '4t6'.
4t6(1 + -1t + 5t2) = 0

Ignore the factor 4.
Subproblem 1
Set the factor 't6' equal to zero and attempt to solve:

Simplifying
t6 = 0

Solving
t6 = 0

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

Simplifying
t6 = 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 + 5t2)' equal to zero and attempt to solve:

Simplifying
1 + -1t + 5t2 = 0

Solving
1 + -1t + 5t2 = 0

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

Divide each side by '5'.
0.2 + -0.2t + t2 = 0

Move the constant term to the right:

Add '-0.2' to each side of the equation.
0.2 + -0.2t + -0.2 + t2 = 0 + -0.2

Reorder the terms:
0.2 + -0.2 + -0.2t + t2 = 0 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + -0.2t + t2 = 0 + -0.2
-0.2t + t2 = 0 + -0.2

Combine like terms: 0 + -0.2 = -0.2
-0.2t + t2 = -0.2

The t term is -0.2t.  Take half its coefficient (-0.1).
Square it (0.01) and add it to both sides.

Add '0.01' to each side of the equation.
-0.2t + 0.01 + t2 = -0.2 + 0.01

Reorder the terms:
0.01 + -0.2t + t2 = -0.2 + 0.01

Combine like terms: -0.2 + 0.01 = -0.19
0.01 + -0.2t + t2 = -0.19

Factor a perfect square on the left side:
(t + -0.1)(t + -0.1) = -0.19

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.