X^3(a+b)-6x^2(a+b)+8x(a+b)=

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Solution for X^3(a+b)-6x^2(a+b)+8x(a+b)= equation: 


Simplifying
X3(a + b) + -6x2(a + b) + 8x(a + b) = 0
(a * X3 + b * X3) + -6x2(a + b) + 8x(a + b) = 0
(aX3 + bX3) + -6x2(a + b) + 8x(a + b) = 0
aX3 + bX3 + (a * -6x2 + b * -6x2) + 8x(a + b) = 0
aX3 + bX3 + (-6ax2 + -6bx2) + 8x(a + b) = 0
aX3 + bX3 + -6ax2 + -6bx2 + (a * 8x + b * 8x) = 0
aX3 + bX3 + -6ax2 + -6bx2 + (8ax + 8bx) = 0

Reorder the terms:
aX3 + 8ax + -6ax2 + bX3 + 8bx + -6bx2 = 0

Solving
aX3 + 8ax + -6ax2 + bX3 + 8bx + -6bx2 = 0

Solving for variable 'a'.

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

Add '-1bX3' to each side of the equation.
aX3 + 8ax + -6ax2 + bX3 + 8bx + -1bX3 + -6bx2 = 0 + -1bX3

Reorder the terms:
aX3 + 8ax + -6ax2 + bX3 + -1bX3 + 8bx + -6bx2 = 0 + -1bX3

Combine like terms: bX3 + -1bX3 = 0
aX3 + 8ax + -6ax2 + 0 + 8bx + -6bx2 = 0 + -1bX3
aX3 + 8ax + -6ax2 + 8bx + -6bx2 = 0 + -1bX3
Remove the zero:
aX3 + 8ax + -6ax2 + 8bx + -6bx2 = -1bX3

Add '-8bx' to each side of the equation.
aX3 + 8ax + -6ax2 + 8bx + -8bx + -6bx2 = -1bX3 + -8bx

Combine like terms: 8bx + -8bx = 0
aX3 + 8ax + -6ax2 + 0 + -6bx2 = -1bX3 + -8bx
aX3 + 8ax + -6ax2 + -6bx2 = -1bX3 + -8bx

Add '6bx2' to each side of the equation.
aX3 + 8ax + -6ax2 + -6bx2 + 6bx2 = -1bX3 + -8bx + 6bx2

Combine like terms: -6bx2 + 6bx2 = 0
aX3 + 8ax + -6ax2 + 0 = -1bX3 + -8bx + 6bx2
aX3 + 8ax + -6ax2 = -1bX3 + -8bx + 6bx2

Reorder the terms:
aX3 + 8ax + -6ax2 + bX3 + 8bx + -6bx2 = -1bX3 + bX3 + -8bx + 8bx + 6bx2 + -6bx2

Combine like terms: -1bX3 + bX3 = 0
aX3 + 8ax + -6ax2 + bX3 + 8bx + -6bx2 = 0 + -8bx + 8bx + 6bx2 + -6bx2
aX3 + 8ax + -6ax2 + bX3 + 8bx + -6bx2 = -8bx + 8bx + 6bx2 + -6bx2

Combine like terms: -8bx + 8bx = 0
aX3 + 8ax + -6ax2 + bX3 + 8bx + -6bx2 = 0 + 6bx2 + -6bx2
aX3 + 8ax + -6ax2 + bX3 + 8bx + -6bx2 = 6bx2 + -6bx2

Combine like terms: 6bx2 + -6bx2 = 0
aX3 + 8ax + -6ax2 + bX3 + 8bx + -6bx2 = 0

The solution to this equation could not be determined.

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