x^2+2(a-b)x-4ab=0

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Solution for x^2+2(a-b)x-4ab=0 equation:


Simplifying
x2 + 2(a + -1b) * x + -4ab = 0

Reorder the terms for easier multiplication:
x2 + 2x(a + -1b) + -4ab = 0
x2 + (a * 2x + -1b * 2x) + -4ab = 0
x2 + (2ax + -2bx) + -4ab = 0

Reorder the terms:
-4ab + 2ax + -2bx + x2 = 0

Solving
-4ab + 2ax + -2bx + x2 = 0

Solving for variable 'a'.

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

Add '2bx' to each side of the equation.
-4ab + 2ax + -2bx + 2bx + x2 = 0 + 2bx

Combine like terms: -2bx + 2bx = 0
-4ab + 2ax + 0 + x2 = 0 + 2bx
-4ab + 2ax + x2 = 0 + 2bx
Remove the zero:
-4ab + 2ax + x2 = 2bx

Add '-1x2' to each side of the equation.
-4ab + 2ax + x2 + -1x2 = 2bx + -1x2

Combine like terms: x2 + -1x2 = 0
-4ab + 2ax + 0 = 2bx + -1x2
-4ab + 2ax = 2bx + -1x2

Reorder the terms:
-4ab + 2ax + -2bx + x2 = 2bx + -2bx + -1x2 + x2

Combine like terms: 2bx + -2bx = 0
-4ab + 2ax + -2bx + x2 = 0 + -1x2 + x2
-4ab + 2ax + -2bx + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-4ab + 2ax + -2bx + x2 = 0

The solution to this equation could not be determined.

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