(a-x)(x+a)=

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

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

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

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

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

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

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

Solving
a2 + -1x2 = 0

Solving for variable 'a'.

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

Add 'x2' to each side of the equation.
a2 + -1x2 + x2 = 0 + x2

Combine like terms: -1x2 + x2 = 0
a2 + 0 = 0 + x2
a2 = 0 + x2
Remove the zero:
a2 = x2

Simplifying
a2 = x2

Take the square root of each side:
a = {-1x, x}