(x^2)-x(b+a)+ab-abx^2=0

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Solution for (x^2)-x(b+a)+ab-abx^2=0 equation:


Simplifying
(x2) + -1x(b + a) + ab + -1abx2 = 0
x2 + -1x(b + a) + ab + -1abx2 = 0

Reorder the terms:
x2 + -1x(a + b) + ab + -1abx2 = 0
x2 + (a * -1x + b * -1x) + ab + -1abx2 = 0
x2 + (-1ax + -1bx) + ab + -1abx2 = 0

Reorder the terms:
ab + -1abx2 + -1ax + -1bx + x2 = 0

Solving
ab + -1abx2 + -1ax + -1bx + x2 = 0

Solving for variable 'a'.

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

Add 'bx' to each side of the equation.
ab + -1abx2 + -1ax + -1bx + bx + x2 = 0 + bx

Combine like terms: -1bx + bx = 0
ab + -1abx2 + -1ax + 0 + x2 = 0 + bx
ab + -1abx2 + -1ax + x2 = 0 + bx
Remove the zero:
ab + -1abx2 + -1ax + x2 = bx

Add '-1x2' to each side of the equation.
ab + -1abx2 + -1ax + x2 + -1x2 = bx + -1x2

Combine like terms: x2 + -1x2 = 0
ab + -1abx2 + -1ax + 0 = bx + -1x2
ab + -1abx2 + -1ax = bx + -1x2

Reorder the terms:
ab + -1abx2 + -1ax + -1bx + x2 = bx + -1bx + -1x2 + x2

Combine like terms: bx + -1bx = 0
ab + -1abx2 + -1ax + -1bx + x2 = 0 + -1x2 + x2
ab + -1abx2 + -1ax + -1bx + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
ab + -1abx2 + -1ax + -1bx + x2 = 0

The solution to this equation could not be determined.

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