5s+t(3s-4t-14)=8

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Solution for 5s+t(3s-4t-14)=8 equation:


Simplifying
5s + t(3s + -4t + -14) = 8

Reorder the terms:
5s + t(-14 + 3s + -4t) = 8
5s + (-14 * t + 3s * t + -4t * t) = 8

Reorder the terms:
5s + (3st + -14t + -4t2) = 8
5s + (3st + -14t + -4t2) = 8

Solving
5s + 3st + -14t + -4t2 = 8

Solving for variable 's'.

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

Add '14t' to each side of the equation.
5s + 3st + -14t + 14t + -4t2 = 8 + 14t

Combine like terms: -14t + 14t = 0
5s + 3st + 0 + -4t2 = 8 + 14t
5s + 3st + -4t2 = 8 + 14t

Add '4t2' to each side of the equation.
5s + 3st + -4t2 + 4t2 = 8 + 14t + 4t2

Combine like terms: -4t2 + 4t2 = 0
5s + 3st + 0 = 8 + 14t + 4t2
5s + 3st = 8 + 14t + 4t2

Reorder the terms:
-8 + 5s + 3st + -14t + -4t2 = 8 + 14t + 4t2 + -8 + -14t + -4t2

Reorder the terms:
-8 + 5s + 3st + -14t + -4t2 = 8 + -8 + 14t + -14t + 4t2 + -4t2

Combine like terms: 8 + -8 = 0
-8 + 5s + 3st + -14t + -4t2 = 0 + 14t + -14t + 4t2 + -4t2
-8 + 5s + 3st + -14t + -4t2 = 14t + -14t + 4t2 + -4t2

Combine like terms: 14t + -14t = 0
-8 + 5s + 3st + -14t + -4t2 = 0 + 4t2 + -4t2
-8 + 5s + 3st + -14t + -4t2 = 4t2 + -4t2

Combine like terms: 4t2 + -4t2 = 0
-8 + 5s + 3st + -14t + -4t2 = 0

The solution to this equation could not be determined.

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