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

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


Simplifying
a(x + a) = 2x + a(1 + -1a)

Reorder the terms:
a(a + x) = 2x + a(1 + -1a)
(a * a + x * a) = 2x + a(1 + -1a)

Reorder the terms:
(ax + a2) = 2x + a(1 + -1a)
(ax + a2) = 2x + a(1 + -1a)
ax + a2 = 2x + (1 * a + -1a * a)
ax + a2 = 2x + (1a + -1a2)

Reorder the terms:
ax + a2 = 1a + -1a2 + 2x

Solving
ax + a2 = 1a + -1a2 + 2x

Solving for variable 'a'.

Reorder the terms:
-1a + ax + a2 + a2 + -2x = 1a + -1a2 + 2x + -1a + a2 + -2x

Combine like terms: a2 + a2 = 2a2
-1a + ax + 2a2 + -2x = 1a + -1a2 + 2x + -1a + a2 + -2x

Reorder the terms:
-1a + ax + 2a2 + -2x = 1a + -1a + -1a2 + a2 + 2x + -2x

Combine like terms: 1a + -1a = 0
-1a + ax + 2a2 + -2x = 0 + -1a2 + a2 + 2x + -2x
-1a + ax + 2a2 + -2x = -1a2 + a2 + 2x + -2x

Combine like terms: -1a2 + a2 = 0
-1a + ax + 2a2 + -2x = 0 + 2x + -2x
-1a + ax + 2a2 + -2x = 2x + -2x

Combine like terms: 2x + -2x = 0
-1a + ax + 2a2 + -2x = 0

The solution to this equation could not be determined.

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