3(t+tz)(t-1tz)*(t+2tz)(t-tz)=

Solution for 3(t+tz)(t-1tz)*(t+2tz)(t-tz)= equation:

Simplifying
3(t + tz)(t + -1tz)(t + 2tz)(t + -1tz) = 0

Multiply (t + tz) * (t + -1tz)
3(t(t + -1tz) + tz(t + -1tz))(t + 2tz)(t + -1tz) = 0
3((t * t + -1tz * t) + tz(t + -1tz))(t + 2tz)(t + -1tz) = 0
3((t2 + -1t2z) + tz(t + -1tz))(t + 2tz)(t + -1tz) = 0
3(t2 + -1t2z + (t * tz + -1tz * tz))(t + 2tz)(t + -1tz) = 0
3(t2 + -1t2z + (t2z + -1t2z2))(t + 2tz)(t + -1tz) = 0

Combine like terms: -1t2z + t2z = 0
3(t2 + 0 + -1t2z2)(t + 2tz)(t + -1tz) = 0
3(t2 + -1t2z2)(t + 2tz)(t + -1tz) = 0

Multiply (t2 + -1t2z2) * (t + 2tz)
3(t2(t + 2tz) + -1t2z2 * (t + 2tz))(t + -1tz) = 0
3((t * t2 + 2tz * t2) + -1t2z2 * (t + 2tz))(t + -1tz) = 0
3((t3 + 2t3z) + -1t2z2 * (t + 2tz))(t + -1tz) = 0
3(t3 + 2t3z + (t * -1t2z2 + 2tz * -1t2z2))(t + -1tz) = 0
3(t3 + 2t3z + (-1t3z2 + -2t3z3))(t + -1tz) = 0
3(t3 + 2t3z + -1t3z2 + -2t3z3)(t + -1tz) = 0

Multiply (t3 + 2t3z + -1t3z2 + -2t3z3) * (t + -1tz)
3(t3(t + -1tz) + 2t3z * (t + -1tz) + -1t3z2 * (t + -1tz) + -2t3z3 * (t + -1tz)) = 0
3((t * t3 + -1tz * t3) + 2t3z * (t + -1tz) + -1t3z2 * (t + -1tz) + -2t3z3 * (t + -1tz)) = 0
3((t4 + -1t4z) + 2t3z * (t + -1tz) + -1t3z2 * (t + -1tz) + -2t3z3 * (t + -1tz)) = 0
3(t4 + -1t4z + (t * 2t3z + -1tz * 2t3z) + -1t3z2 * (t + -1tz) + -2t3z3 * (t + -1tz)) = 0
3(t4 + -1t4z + (2t4z + -2t4z2) + -1t3z2 * (t + -1tz) + -2t3z3 * (t + -1tz)) = 0
3(t4 + -1t4z + 2t4z + -2t4z2 + (t * -1t3z2 + -1tz * -1t3z2) + -2t3z3 * (t + -1tz)) = 0
3(t4 + -1t4z + 2t4z + -2t4z2 + (-1t4z2 + 1t4z3) + -2t3z3 * (t + -1tz)) = 0
3(t4 + -1t4z + 2t4z + -2t4z2 + -1t4z2 + 1t4z3 + (t * -2t3z3 + -1tz * -2t3z3)) = 0
3(t4 + -1t4z + 2t4z + -2t4z2 + -1t4z2 + 1t4z3 + (-2t4z3 + 2t4z4)) = 0

Combine like terms: -1t4z + 2t4z = 1t4z
3(t4 + 1t4z + -2t4z2 + -1t4z2 + 1t4z3 + -2t4z3 + 2t4z4) = 0

Combine like terms: -2t4z2 + -1t4z2 = -3t4z2
3(t4 + 1t4z + -3t4z2 + 1t4z3 + -2t4z3 + 2t4z4) = 0

Combine like terms: 1t4z3 + -2t4z3 = -1t4z3
3(t4 + 1t4z + -3t4z2 + -1t4z3 + 2t4z4) = 0
(t4 * 3 + 1t4z * 3 + -3t4z2 * 3 + -1t4z3 * 3 + 2t4z4 * 3) = 0
(3t4 + 3t4z + -9t4z2 + -3t4z3 + 6t4z4) = 0

Solving
3t4 + 3t4z + -9t4z2 + -3t4z3 + 6t4z4 = 0

Solving for variable 't'.

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

Factor out the Greatest Common Factor (GCF), '3t4'.
3t4(1 + z + -3z2 + -1z3 + 2z4) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 't4' equal to zero and attempt to solve:

Simplifying
t4 = 0

Solving
t4 = 0

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

Simplifying
t4 = 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 + z + -3z2 + -1z3 + 2z4)' equal to zero and attempt to solve:

Simplifying
1 + z + -3z2 + -1z3 + 2z4 = 0

Solving
1 + z + -3z2 + -1z3 + 2z4 = 0

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

Add '-1' to each side of the equation.
1 + z + -3z2 + -1z3 + -1 + 2z4 = 0 + -1

Reorder the terms:
1 + -1 + z + -3z2 + -1z3 + 2z4 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + z + -3z2 + -1z3 + 2z4 = 0 + -1
z + -3z2 + -1z3 + 2z4 = 0 + -1

Combine like terms: 0 + -1 = -1
z + -3z2 + -1z3 + 2z4 = -1

Add '-1z' to each side of the equation.
z + -3z2 + -1z3 + -1z + 2z4 = -1 + -1z

Reorder the terms:
z + -1z + -3z2 + -1z3 + 2z4 = -1 + -1z

Combine like terms: z + -1z = 0
0 + -3z2 + -1z3 + 2z4 = -1 + -1z
-3z2 + -1z3 + 2z4 = -1 + -1z

Add '3z2' to each side of the equation.
-3z2 + -1z3 + 3z2 + 2z4 = -1 + -1z + 3z2

Reorder the terms:
-3z2 + 3z2 + -1z3 + 2z4 = -1 + -1z + 3z2

Combine like terms: -3z2 + 3z2 = 0
0 + -1z3 + 2z4 = -1 + -1z + 3z2
-1z3 + 2z4 = -1 + -1z + 3z2

Add 'z3' to each side of the equation.
-1z3 + z3 + 2z4 = -1 + -1z + 3z2 + z3

Combine like terms: -1z3 + z3 = 0
0 + 2z4 = -1 + -1z + 3z2 + z3
2z4 = -1 + -1z + 3z2 + z3

Add '-2z4' to each side of the equation.
2z4 + -2z4 = -1 + -1z + 3z2 + z3 + -2z4

Combine like terms: 2z4 + -2z4 = 0
0 = -1 + -1z + 3z2 + z3 + -2z4

Simplifying
0 = -1 + -1z + 3z2 + z3 + -2z4

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.