(x-a)(x+a)-a=(x-a)(x+a+1)

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


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

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

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

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

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

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

Combine like terms: -1ax + ax = 0
(0 + -1a2 + x2) + -1a = (x + -1a)(x + a + 1)
(-1a2 + x2) + -1a = (x + -1a)(x + a + 1)

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

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

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

Multiply (-1a + x) * (1 + a + x)
-1a + -1a2 + x2 = (-1a * (1 + a + x) + x(1 + a + x))
-1a + -1a2 + x2 = ((1 * -1a + a * -1a + x * -1a) + x(1 + a + x))

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

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

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

Combine like terms: -1ax + ax = 0
-1a + -1a2 + x2 = (-1a + 0 + -1a2 + 1x + x2)
-1a + -1a2 + x2 = (-1a + -1a2 + 1x + x2)

Add 'a' to each side of the equation.
-1a + -1a2 + a + x2 = -1a + -1a2 + 1x + a + x2

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

Combine like terms: -1a + a = 0
0 + -1a2 + x2 = -1a + -1a2 + 1x + a + x2
-1a2 + x2 = -1a + -1a2 + 1x + a + x2

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

Combine like terms: -1a + a = 0
-1a2 + x2 = 0 + -1a2 + 1x + x2
-1a2 + x2 = -1a2 + 1x + x2

Add 'a2' to each side of the equation.
-1a2 + a2 + x2 = -1a2 + 1x + a2 + x2

Combine like terms: -1a2 + a2 = 0
0 + x2 = -1a2 + 1x + a2 + x2
x2 = -1a2 + 1x + a2 + x2

Reorder the terms:
x2 = -1a2 + a2 + 1x + x2

Combine like terms: -1a2 + a2 = 0
x2 = 0 + 1x + x2
x2 = 1x + x2

Add '-1x2' to each side of the equation.
x2 + -1x2 = 1x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
0 = 1x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
0 = 1x + 0
0 = 1x

Solving
0 = 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
0 + -1x = 1x + -1x
Remove the zero:
-1x = 1x + -1x

Combine like terms: 1x + -1x = 0
-1x = 0

Divide each side by '-1'.
x = 0

Simplifying
x = 0

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