7t^4(t-t^2+4t^3)=

Solution for 7t^4(t-t^2+4t^3)= equation:

Simplifying
7t4(t + -1t2 + 4t3) = 0
(t * 7t4 + -1t2 * 7t4 + 4t3 * 7t4) = 0
(7t5 + -7t6 + 28t7) = 0

Solving
7t5 + -7t6 + 28t7 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '7t5'.
7t5(1 + -1t + 4t2) = 0

Ignore the factor 7.
Subproblem 1
Set the factor 't5' equal to zero and attempt to solve:

Simplifying
t5 = 0

Solving
t5 = 0

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

Simplifying
t5 = 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.