x^2-(a+1)(x-a)=0

Solution for x^2-(a+1)(x-a)=0 equation:

Simplifying
x2 + -1(a + 1)(x + -1a) = 0

Reorder the terms:
x2 + -1(1 + a)(x + -1a) = 0

Reorder the terms:
x2 + -1(1 + a)(-1a + x) = 0

Multiply (1 + a) * (-1a + x)
x2 + -1(1(-1a + x) + a(-1a + x)) = 0
x2 + -1((-1a * 1 + x * 1) + a(-1a + x)) = 0
x2 + -1((-1a + 1x) + a(-1a + x)) = 0
x2 + -1(-1a + 1x + (-1a * a + x * a)) = 0

Reorder the terms:
x2 + -1(-1a + 1x + (ax + -1a2)) = 0
x2 + -1(-1a + 1x + (ax + -1a2)) = 0

Reorder the terms:
x2 + -1(-1a + ax + -1a2 + 1x) = 0
x2 + -1(-1a + ax + -1a2 + 1x) = 0
x2 + (-1a * -1 + ax * -1 + -1a2 * -1 + 1x * -1) = 0
x2 + (1a + -1ax + 1a2 + -1x) = 0

Reorder the terms:
1a + -1ax + 1a2 + -1x + x2 = 0

Solving
1a + -1ax + 1a2 + -1x + x2 = 0

Solving for variable 'a'.

The solution to this equation could not be determined.