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

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


Simplifying
2x2(a + -1b) + x(b + -1a) + 6(b + -1a) = 0
(a * 2x2 + -1b * 2x2) + x(b + -1a) + 6(b + -1a) = 0
(2ax2 + -2bx2) + x(b + -1a) + 6(b + -1a) = 0

Reorder the terms:
2ax2 + -2bx2 + x(-1a + b) + 6(b + -1a) = 0
2ax2 + -2bx2 + (-1a * x + b * x) + 6(b + -1a) = 0
2ax2 + -2bx2 + (-1ax + bx) + 6(b + -1a) = 0

Reorder the terms:
2ax2 + -2bx2 + -1ax + bx + 6(-1a + b) = 0
2ax2 + -2bx2 + -1ax + bx + (-1a * 6 + b * 6) = 0
2ax2 + -2bx2 + -1ax + bx + (-6a + 6b) = 0

Reorder the terms:
-6a + -1ax + 2ax2 + 6b + bx + -2bx2 = 0

Solving
-6a + -1ax + 2ax2 + 6b + bx + -2bx2 = 0

Solving for variable 'a'.

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

Add '-6b' to each side of the equation.
-6a + -1ax + 2ax2 + 6b + bx + -6b + -2bx2 = 0 + -6b

Reorder the terms:
-6a + -1ax + 2ax2 + 6b + -6b + bx + -2bx2 = 0 + -6b

Combine like terms: 6b + -6b = 0
-6a + -1ax + 2ax2 + 0 + bx + -2bx2 = 0 + -6b
-6a + -1ax + 2ax2 + bx + -2bx2 = 0 + -6b
Remove the zero:
-6a + -1ax + 2ax2 + bx + -2bx2 = -6b

Add '-1bx' to each side of the equation.
-6a + -1ax + 2ax2 + bx + -1bx + -2bx2 = -6b + -1bx

Combine like terms: bx + -1bx = 0
-6a + -1ax + 2ax2 + 0 + -2bx2 = -6b + -1bx
-6a + -1ax + 2ax2 + -2bx2 = -6b + -1bx

Add '2bx2' to each side of the equation.
-6a + -1ax + 2ax2 + -2bx2 + 2bx2 = -6b + -1bx + 2bx2

Combine like terms: -2bx2 + 2bx2 = 0
-6a + -1ax + 2ax2 + 0 = -6b + -1bx + 2bx2
-6a + -1ax + 2ax2 = -6b + -1bx + 2bx2

Reorder the terms:
-6a + -1ax + 2ax2 + 6b + bx + -2bx2 = -6b + 6b + -1bx + bx + 2bx2 + -2bx2

Combine like terms: -6b + 6b = 0
-6a + -1ax + 2ax2 + 6b + bx + -2bx2 = 0 + -1bx + bx + 2bx2 + -2bx2
-6a + -1ax + 2ax2 + 6b + bx + -2bx2 = -1bx + bx + 2bx2 + -2bx2

Combine like terms: -1bx + bx = 0
-6a + -1ax + 2ax2 + 6b + bx + -2bx2 = 0 + 2bx2 + -2bx2
-6a + -1ax + 2ax2 + 6b + bx + -2bx2 = 2bx2 + -2bx2

Combine like terms: 2bx2 + -2bx2 = 0
-6a + -1ax + 2ax2 + 6b + bx + -2bx2 = 0

The solution to this equation could not be determined.

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