4a(s-6t)+5b(s-6t)+4(s-6t)=0

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Solution for 4a(s-6t)+5b(s-6t)+4(s-6t)=0 equation: 


Simplifying
4a(s + -6t) + 5b(s + -6t) + 4(s + -6t) = 0
(s * 4a + -6t * 4a) + 5b(s + -6t) + 4(s + -6t) = 0
(4as + -24at) + 5b(s + -6t) + 4(s + -6t) = 0
4as + -24at + (s * 5b + -6t * 5b) + 4(s + -6t) = 0
4as + -24at + (5bs + -30bt) + 4(s + -6t) = 0
4as + -24at + 5bs + -30bt + (s * 4 + -6t * 4) = 0
4as + -24at + 5bs + -30bt + (4s + -24t) = 0

Solving
4as + -24at + 5bs + -30bt + 4s + -24t = 0

Solving for variable 'a'.

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

Add '-5bs' to each side of the equation.
4as + -24at + 5bs + -30bt + 4s + -5bs + -24t = 0 + -5bs

Reorder the terms:
4as + -24at + 5bs + -5bs + -30bt + 4s + -24t = 0 + -5bs

Combine like terms: 5bs + -5bs = 0
4as + -24at + 0 + -30bt + 4s + -24t = 0 + -5bs
4as + -24at + -30bt + 4s + -24t = 0 + -5bs
Remove the zero:
4as + -24at + -30bt + 4s + -24t = -5bs

Add '30bt' to each side of the equation.
4as + -24at + -30bt + 4s + 30bt + -24t = -5bs + 30bt

Reorder the terms:
4as + -24at + -30bt + 30bt + 4s + -24t = -5bs + 30bt

Combine like terms: -30bt + 30bt = 0
4as + -24at + 0 + 4s + -24t = -5bs + 30bt
4as + -24at + 4s + -24t = -5bs + 30bt

Add '-4s' to each side of the equation.
4as + -24at + 4s + -4s + -24t = -5bs + 30bt + -4s

Combine like terms: 4s + -4s = 0
4as + -24at + 0 + -24t = -5bs + 30bt + -4s
4as + -24at + -24t = -5bs + 30bt + -4s

Add '24t' to each side of the equation.
4as + -24at + -24t + 24t = -5bs + 30bt + -4s + 24t

Combine like terms: -24t + 24t = 0
4as + -24at + 0 = -5bs + 30bt + -4s + 24t
4as + -24at = -5bs + 30bt + -4s + 24t

Reorder the terms:
4as + -24at + 5bs + -30bt + 4s + -24t = -5bs + 5bs + 30bt + -30bt + -4s + 4s + 24t + -24t

Combine like terms: -5bs + 5bs = 0
4as + -24at + 5bs + -30bt + 4s + -24t = 0 + 30bt + -30bt + -4s + 4s + 24t + -24t
4as + -24at + 5bs + -30bt + 4s + -24t = 30bt + -30bt + -4s + 4s + 24t + -24t

Combine like terms: 30bt + -30bt = 0
4as + -24at + 5bs + -30bt + 4s + -24t = 0 + -4s + 4s + 24t + -24t
4as + -24at + 5bs + -30bt + 4s + -24t = -4s + 4s + 24t + -24t

Combine like terms: -4s + 4s = 0
4as + -24at + 5bs + -30bt + 4s + -24t = 0 + 24t + -24t
4as + -24at + 5bs + -30bt + 4s + -24t = 24t + -24t

Combine like terms: 24t + -24t = 0
4as + -24at + 5bs + -30bt + 4s + -24t = 0

The solution to this equation could not be determined.

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