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

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


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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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