(-t^6-2t^3-7t)-(4t^6-2t^3)=

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Solution for (-t^6-2t^3-7t)-(4t^6-2t^3)= equation: 


Simplifying
(-1t6 + -2t3 + -7t) + -1(4t6 + -2t3) = 0

Reorder the terms:
(-7t + -2t3 + -1t6) + -1(4t6 + -2t3) = 0

Remove parenthesis around (-7t + -2t3 + -1t6)
-7t + -2t3 + -1t6 + -1(4t6 + -2t3) = 0

Reorder the terms:
-7t + -2t3 + -1t6 + -1(-2t3 + 4t6) = 0
-7t + -2t3 + -1t6 + (-2t3 * -1 + 4t6 * -1) = 0
-7t + -2t3 + -1t6 + (2t3 + -4t6) = 0

Reorder the terms:
-7t + -2t3 + 2t3 + -1t6 + -4t6 = 0

Combine like terms: -2t3 + 2t3 = 0
-7t + 0 + -1t6 + -4t6 = 0
-7t + -1t6 + -4t6 = 0

Combine like terms: -1t6 + -4t6 = -5t6
-7t + -5t6 = 0

Solving
-7t + -5t6 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '-1t'.
-1t(7 + 5t5) = 0

Ignore the factor -1.

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 '(7 + 5t5)' equal to zero and attempt to solve:

Simplifying
7 + 5t5 = 0

Solving
7 + 5t5 = 0

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

Add '-7' to each side of the equation.
7 + -7 + 5t5 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 5t5 = 0 + -7
5t5 = 0 + -7

Combine like terms: 0 + -7 = -7
5t5 = -7

Divide each side by '5'.
t5 = -1.4

Simplifying
t5 = -1.4

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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