6x^2(a-b)-5x(a-b)+(a-b)=0

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Solution for 6x^2(a-b)-5x(a-b)+(a-b)=0 equation: 


Simplifying
6x2(a + -1b) + -5x(a + -1b) + (a + -1b) = 0
(a * 6x2 + -1b * 6x2) + -5x(a + -1b) + (a + -1b) = 0
(6ax2 + -6bx2) + -5x(a + -1b) + (a + -1b) = 0
6ax2 + -6bx2 + (a * -5x + -1b * -5x) + (a + -1b) = 0
6ax2 + -6bx2 + (-5ax + 5bx) + (a + -1b) = 0

Remove parenthesis around (a + -1b)
6ax2 + -6bx2 + -5ax + 5bx + a + -1b = 0

Reorder the terms:
a + -5ax + 6ax2 + -1b + 5bx + -6bx2 = 0

Solving
a + -5ax + 6ax2 + -1b + 5bx + -6bx2 = 0

Solving for variable 'a'.

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

Add 'b' to each side of the equation.
a + -5ax + 6ax2 + -1b + 5bx + b + -6bx2 = 0 + b

Reorder the terms:
a + -5ax + 6ax2 + -1b + b + 5bx + -6bx2 = 0 + b

Combine like terms: -1b + b = 0
a + -5ax + 6ax2 + 0 + 5bx + -6bx2 = 0 + b
a + -5ax + 6ax2 + 5bx + -6bx2 = 0 + b
Remove the zero:
a + -5ax + 6ax2 + 5bx + -6bx2 = b

Add '-5bx' to each side of the equation.
a + -5ax + 6ax2 + 5bx + -5bx + -6bx2 = b + -5bx

Combine like terms: 5bx + -5bx = 0
a + -5ax + 6ax2 + 0 + -6bx2 = b + -5bx
a + -5ax + 6ax2 + -6bx2 = b + -5bx

Add '6bx2' to each side of the equation.
a + -5ax + 6ax2 + -6bx2 + 6bx2 = b + -5bx + 6bx2

Combine like terms: -6bx2 + 6bx2 = 0
a + -5ax + 6ax2 + 0 = b + -5bx + 6bx2
a + -5ax + 6ax2 = b + -5bx + 6bx2

Reorder the terms:
a + -5ax + 6ax2 + -1b + 5bx + -6bx2 = b + -1b + -5bx + 5bx + 6bx2 + -6bx2

Combine like terms: b + -1b = 0
a + -5ax + 6ax2 + -1b + 5bx + -6bx2 = 0 + -5bx + 5bx + 6bx2 + -6bx2
a + -5ax + 6ax2 + -1b + 5bx + -6bx2 = -5bx + 5bx + 6bx2 + -6bx2

Combine like terms: -5bx + 5bx = 0
a + -5ax + 6ax2 + -1b + 5bx + -6bx2 = 0 + 6bx2 + -6bx2
a + -5ax + 6ax2 + -1b + 5bx + -6bx2 = 6bx2 + -6bx2

Combine like terms: 6bx2 + -6bx2 = 0
a + -5ax + 6ax2 + -1b + 5bx + -6bx2 = 0

The solution to this equation could not be determined.

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