K^2+(a+b)x+ab=0

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


Simplifying
K2 + (a + b) * x + ab = 0

Reorder the terms for easier multiplication:
K2 + x(a + b) + ab = 0
K2 + (a * x + b * x) + ab = 0
K2 + (ax + bx) + ab = 0

Reorder the terms:
K2 + ab + ax + bx = 0

Solving
K2 + ab + ax + bx = 0

Solving for variable 'K'.

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

Add '-1ab' to each side of the equation.
K2 + ab + ax + -1ab + bx = 0 + -1ab

Reorder the terms:
K2 + ab + -1ab + ax + bx = 0 + -1ab

Combine like terms: ab + -1ab = 0
K2 + 0 + ax + bx = 0 + -1ab
K2 + ax + bx = 0 + -1ab
Remove the zero:
K2 + ax + bx = -1ab

Add '-1ax' to each side of the equation.
K2 + ax + -1ax + bx = -1ab + -1ax

Combine like terms: ax + -1ax = 0
K2 + 0 + bx = -1ab + -1ax
K2 + bx = -1ab + -1ax

Add '-1bx' to each side of the equation.
K2 + bx + -1bx = -1ab + -1ax + -1bx

Combine like terms: bx + -1bx = 0
K2 + 0 = -1ab + -1ax + -1bx
K2 = -1ab + -1ax + -1bx

Simplifying
K2 = -1ab + -1ax + -1bx

Reorder the terms:
K2 + ab + ax + bx = -1ab + ab + -1ax + ax + -1bx + bx

Combine like terms: -1ab + ab = 0
K2 + ab + ax + bx = 0 + -1ax + ax + -1bx + bx
K2 + ab + ax + bx = -1ax + ax + -1bx + bx

Combine like terms: -1ax + ax = 0
K2 + ab + ax + bx = 0 + -1bx + bx
K2 + ab + ax + bx = -1bx + bx

Combine like terms: -1bx + bx = 0
K2 + ab + ax + bx = 0

The solution to this equation could not be determined.

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