2t-te(6t-1)=0

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Solution for 2t-te(6t-1)=0 equation: 


Simplifying
2t + -1te(6t + -1) = 0

Reorder the terms:
2t + -1et(-1 + 6t) = 0
2t + (-1 * -1et + 6t * -1et) = 0
2t + (1et + -6et2) = 0

Reorder the terms:
1et + -6et2 + 2t = 0

Solving
1et + -6et2 + 2t = 0

Solving for variable 'e'.

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

Add '-2t' to each side of the equation.
1et + -6et2 + 2t + -2t = 0 + -2t

Combine like terms: 2t + -2t = 0
1et + -6et2 + 0 = 0 + -2t
1et + -6et2 = 0 + -2t
Remove the zero:
1et + -6et2 = -2t

Combine like terms: -2t + 2t = 0
1et + -6et2 + 2t = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(e + -6et + 2) = 0


Subproblem 1
Set the factor 't' equal to zero and attempt to solve:

Simplifying
t = 0

Solving
t = 0

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

Add '-1t' to each side of the equation.
t + -1t = 0 + -1t
Remove the zero:
0 = -1t

Simplifying
0 = -1t

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 '(e + -6et + 2)' equal to zero and attempt to solve:

Simplifying
e + -6et + 2 = 0

Reorder the terms:
2 + e + -6et = 0

Solving
2 + e + -6et = 0

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

Add '-2' to each side of the equation.
2 + e + -2 + -6et = 0 + -2

Reorder the terms:
2 + -2 + e + -6et = 0 + -2

Combine like terms: 2 + -2 = 0
0 + e + -6et = 0 + -2
e + -6et = 0 + -2

Combine like terms: 0 + -2 = -2
e + -6et = -2

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.

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