0.5t^3-1.5*t^2*k+6*t*k-6t+50=0

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Solution for 0.5t^3-1.5*t^2*k+6*t*k-6t+50=0 equation: 


Simplifying
0.5t3 + -1.5t2 * k + 6t * k + -6t + 50 = 0

Multiply t2 * k
0.5t3 + -1.5kt2 + 6t * k + -6t + 50 = 0

Multiply t * k
0.5t3 + -1.5kt2 + 6kt + -6t + 50 = 0

Reorder the terms:
50 + 6kt + -1.5kt2 + -6t + 0.5t3 = 0

Solving
50 + 6kt + -1.5kt2 + -6t + 0.5t3 = 0

Solving for variable 'k'.

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

Add '-50' to each side of the equation.
50 + 6kt + -1.5kt2 + -6t + -50 + 0.5t3 = 0 + -50

Reorder the terms:
50 + -50 + 6kt + -1.5kt2 + -6t + 0.5t3 = 0 + -50

Combine like terms: 50 + -50 = 0
0 + 6kt + -1.5kt2 + -6t + 0.5t3 = 0 + -50
6kt + -1.5kt2 + -6t + 0.5t3 = 0 + -50

Combine like terms: 0 + -50 = -50
6kt + -1.5kt2 + -6t + 0.5t3 = -50

Add '6t' to each side of the equation.
6kt + -1.5kt2 + -6t + 6t + 0.5t3 = -50 + 6t

Combine like terms: -6t + 6t = 0
6kt + -1.5kt2 + 0 + 0.5t3 = -50 + 6t
6kt + -1.5kt2 + 0.5t3 = -50 + 6t

Add '-0.5t3' to each side of the equation.
6kt + -1.5kt2 + 0.5t3 + -0.5t3 = -50 + 6t + -0.5t3

Combine like terms: 0.5t3 + -0.5t3 = 0.0
6kt + -1.5kt2 + 0.0 = -50 + 6t + -0.5t3
6kt + -1.5kt2 = -50 + 6t + -0.5t3

Reorder the terms:
50 + 6kt + -1.5kt2 + -6t + 0.5t3 = -50 + 6t + -0.5t3 + 50 + -6t + 0.5t3

Reorder the terms:
50 + 6kt + -1.5kt2 + -6t + 0.5t3 = -50 + 50 + 6t + -6t + -0.5t3 + 0.5t3

Combine like terms: -50 + 50 = 0
50 + 6kt + -1.5kt2 + -6t + 0.5t3 = 0 + 6t + -6t + -0.5t3 + 0.5t3
50 + 6kt + -1.5kt2 + -6t + 0.5t3 = 6t + -6t + -0.5t3 + 0.5t3

Combine like terms: 6t + -6t = 0
50 + 6kt + -1.5kt2 + -6t + 0.5t3 = 0 + -0.5t3 + 0.5t3
50 + 6kt + -1.5kt2 + -6t + 0.5t3 = -0.5t3 + 0.5t3

Combine like terms: -0.5t3 + 0.5t3 = 0.0
50 + 6kt + -1.5kt2 + -6t + 0.5t3 = 0.0

The solution to this equation could not be determined.

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