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

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


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

Reorder the terms:
x2 + (-2a + 2b) * x + -4ab = 0

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