(3t^4+4t)(-7t^4-5t)=

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Solution for (3t^4+4t)(-7t^4-5t)= equation: 


Simplifying
(3t4 + 4t)(-7t4 + -5t) = 0

Reorder the terms:
(4t + 3t4)(-7t4 + -5t) = 0

Reorder the terms:
(4t + 3t4)(-5t + -7t4) = 0

Multiply (4t + 3t4) * (-5t + -7t4)
(4t * (-5t + -7t4) + 3t4 * (-5t + -7t4)) = 0
((-5t * 4t + -7t4 * 4t) + 3t4 * (-5t + -7t4)) = 0
((-20t2 + -28t5) + 3t4 * (-5t + -7t4)) = 0
(-20t2 + -28t5 + (-5t * 3t4 + -7t4 * 3t4)) = 0
(-20t2 + -28t5 + (-15t5 + -21t8)) = 0

Combine like terms: -28t5 + -15t5 = -43t5
(-20t2 + -43t5 + -21t8) = 0

Solving
-20t2 + -43t5 + -21t8 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '-1t2'.
-1t2(20 + 43t3 + 21t6) = 0

Factor a trinomial.
-1t2((4 + 3t3)(5 + 7t3)) = 0

Ignore the factor -1.

Subproblem 1
Set the factor 't2' equal to zero and attempt to solve:

Simplifying
t2 = 0

Solving
t2 = 0

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

Simplifying
t2 = 0

Take the square root of each side:
t = {0}

Subproblem 2
Set the factor '(4 + 3t3)' equal to zero and attempt to solve:

Simplifying
4 + 3t3 = 0

Solving
4 + 3t3 = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3t3 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3t3 = 0 + -4
3t3 = 0 + -4

Combine like terms: 0 + -4 = -4
3t3 = -4

Divide each side by '3'.
t3 = -1.333333333

Simplifying
t3 = -1.333333333

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(5 + 7t3)' equal to zero and attempt to solve:

Simplifying
5 + 7t3 = 0

Solving
5 + 7t3 = 0

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

Add '-5' to each side of the equation.
5 + -5 + 7t3 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 7t3 = 0 + -5
7t3 = 0 + -5

Combine like terms: 0 + -5 = -5
7t3 = -5

Divide each side by '7'.
t3 = -0.7142857143

Simplifying
t3 = -0.7142857143

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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