TK^2-11k+5=0

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Solution for TK^2-11k+5=0 equation:


Simplifying
TK2 + -11k + 5 = 0

Reorder the terms:
5 + K2T + -11k = 0

Solving
5 + K2T + -11k = 0

Solving for variable 'K'.

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

Add '-5' to each side of the equation.
5 + K2T + -5 + -11k = 0 + -5

Reorder the terms:
5 + -5 + K2T + -11k = 0 + -5

Combine like terms: 5 + -5 = 0
0 + K2T + -11k = 0 + -5
K2T + -11k = 0 + -5

Combine like terms: 0 + -5 = -5
K2T + -11k = -5

Add '11k' to each side of the equation.
K2T + -11k + 11k = -5 + 11k

Combine like terms: -11k + 11k = 0
K2T + 0 = -5 + 11k
K2T = -5 + 11k

Divide each side by 'T'.
K2 = -5T-1 + 11kT-1

Simplifying
K2 = -5T-1 + 11kT-1

Reorder the terms:
K2 + 5T-1 + -11kT-1 = -5T-1 + 5T-1 + 11kT-1 + -11kT-1

Combine like terms: -5T-1 + 5T-1 = 0
K2 + 5T-1 + -11kT-1 = 0 + 11kT-1 + -11kT-1
K2 + 5T-1 + -11kT-1 = 11kT-1 + -11kT-1

Combine like terms: 11kT-1 + -11kT-1 = 0
K2 + 5T-1 + -11kT-1 = 0

Factor out the Greatest Common Factor (GCF), 'T-1'.
T-1(K2T + 5 + -11k) = 0

Subproblem 1

Set the factor 'T-1' equal to zero and attempt to solve: Simplifying T-1 = 0 Solving T-1 = 0 Move all terms containing K to the left, all other terms to the right. Add '-1T-1' to each side of the equation. T-1 + -1T-1 = 0 + -1T-1 Remove the zero: 0 = -1T-1 Simplifying 0 = -1T-1 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 '(K2T + 5 + -11k)' equal to zero and attempt to solve: Simplifying K2T + 5 + -11k = 0 Reorder the terms: 5 + K2T + -11k = 0 Solving 5 + K2T + -11k = 0 Move all terms containing K to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + K2T + -5 + -11k = 0 + -5 Reorder the terms: 5 + -5 + K2T + -11k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + K2T + -11k = 0 + -5 K2T + -11k = 0 + -5 Combine like terms: 0 + -5 = -5 K2T + -11k = -5 Add '11k' to each side of the equation. K2T + -11k + 11k = -5 + 11k Combine like terms: -11k + 11k = 0 K2T + 0 = -5 + 11k K2T = -5 + 11k Divide each side by 'T'. K2 = -5T-1 + 11kT-1 Simplifying K2 = -5T-1 + 11kT-1 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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