(T+8)(6t^2-13t+6)=0

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Solution for (T+8)(6t^2-13t+6)=0 equation: 


Simplifying
(T + 8)(6t2 + -13t + 6) = 0

Reorder the terms:
(8 + T)(6t2 + -13t + 6) = 0

Reorder the terms:
(8 + T)(6 + -13t + 6t2) = 0

Multiply (8 + T) * (6 + -13t + 6t2)
(8(6 + -13t + 6t2) + T(6 + -13t + 6t2)) = 0
((6 * 8 + -13t * 8 + 6t2 * 8) + T(6 + -13t + 6t2)) = 0
((48 + -104t + 48t2) + T(6 + -13t + 6t2)) = 0
(48 + -104t + 48t2 + (6 * T + -13t * T + 6t2 * T)) = 0
(48 + -104t + 48t2 + (6T + -13tT + 6t2T)) = 0

Reorder the terms:
(48 + 6T + -104t + -13tT + 48t2 + 6t2T) = 0
(48 + 6T + -104t + -13tT + 48t2 + 6t2T) = 0

Solving
48 + 6T + -104t + -13tT + 48t2 + 6t2T = 0

Solving for variable 'T'.

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

Add '-48' to each side of the equation.
48 + 6T + -104t + -13tT + 48t2 + -48 + 6t2T = 0 + -48

Reorder the terms:
48 + -48 + 6T + -104t + -13tT + 48t2 + 6t2T = 0 + -48

Combine like terms: 48 + -48 = 0
0 + 6T + -104t + -13tT + 48t2 + 6t2T = 0 + -48
6T + -104t + -13tT + 48t2 + 6t2T = 0 + -48

Combine like terms: 0 + -48 = -48
6T + -104t + -13tT + 48t2 + 6t2T = -48

Add '104t' to each side of the equation.
6T + -104t + -13tT + 48t2 + 104t + 6t2T = -48 + 104t

Reorder the terms:
6T + -104t + 104t + -13tT + 48t2 + 6t2T = -48 + 104t

Combine like terms: -104t + 104t = 0
6T + 0 + -13tT + 48t2 + 6t2T = -48 + 104t
6T + -13tT + 48t2 + 6t2T = -48 + 104t

Add '-48t2' to each side of the equation.
6T + -13tT + 48t2 + -48t2 + 6t2T = -48 + 104t + -48t2

Combine like terms: 48t2 + -48t2 = 0
6T + -13tT + 0 + 6t2T = -48 + 104t + -48t2
6T + -13tT + 6t2T = -48 + 104t + -48t2

Reorder the terms:
48 + 6T + -104t + -13tT + 48t2 + 6t2T = -48 + 104t + -48t2 + 48 + -104t + 48t2

Reorder the terms:
48 + 6T + -104t + -13tT + 48t2 + 6t2T = -48 + 48 + 104t + -104t + -48t2 + 48t2

Combine like terms: -48 + 48 = 0
48 + 6T + -104t + -13tT + 48t2 + 6t2T = 0 + 104t + -104t + -48t2 + 48t2
48 + 6T + -104t + -13tT + 48t2 + 6t2T = 104t + -104t + -48t2 + 48t2

Combine like terms: 104t + -104t = 0
48 + 6T + -104t + -13tT + 48t2 + 6t2T = 0 + -48t2 + 48t2
48 + 6T + -104t + -13tT + 48t2 + 6t2T = -48t2 + 48t2

Combine like terms: -48t2 + 48t2 = 0
48 + 6T + -104t + -13tT + 48t2 + 6t2T = 0

The solution to this equation could not be determined.

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