(a-x)(b-x)=x^2

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


Simplifying
(a + -1x)(b + -1x) = x2

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

Solving
ab + -1ax + -1bx + 1x2 = x2

Solving for variable 'a'.

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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