(2x-a)(-x+b)=0

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


Simplifying
(2x + -1a)(-1x + b) = 0

Reorder the terms:
(-1a + 2x)(-1x + b) = 0

Reorder the terms:
(-1a + 2x)(b + -1x) = 0

Multiply (-1a + 2x) * (b + -1x)
(-1a * (b + -1x) + 2x * (b + -1x)) = 0
((b * -1a + -1x * -1a) + 2x * (b + -1x)) = 0
((-1ab + 1ax) + 2x * (b + -1x)) = 0
(-1ab + 1ax + (b * 2x + -1x * 2x)) = 0
(-1ab + 1ax + (2bx + -2x2)) = 0
(-1ab + 1ax + 2bx + -2x2) = 0

Solving
-1ab + 1ax + 2bx + -2x2 = 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.
-1ab + 1ax + 2bx + -2bx + -2x2 = 0 + -2bx

Combine like terms: 2bx + -2bx = 0
-1ab + 1ax + 0 + -2x2 = 0 + -2bx
-1ab + 1ax + -2x2 = 0 + -2bx
Remove the zero:
-1ab + 1ax + -2x2 = -2bx

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

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

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

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

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

The solution to this equation could not be determined.

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