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

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

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

Reorder the terms:
(ax + a2) + -1x(a + -1x) = 0
(ax + a2) + -1x(a + -1x) = 0
ax + a2 + (a * -1x + -1x * -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 '-1x2' to each side of the equation.
a2 + 1x2 + -1x2 = 0 + -1x2

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

Simplifying
a2 = -1x2

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

The solution to this equation could not be determined.