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 + b) * x + 4ab = 0

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