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Simplifying
-1a + a + a * a + a * a = 0
Multiply a * a
-1a + a + a2 + a * a = 0
Multiply a * a
-1a + a + a2 + a2 = 0
Combine like terms: -1a + a = 0
0 + a2 + a2 = 0
a2 + a2 = 0
Combine like terms: a2 + a2 = 2a2
2a2 = 0
Solving
2a2 = 0
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Divide each side by '2'.
a2 = 0
Simplifying
a2 = 0
Take the square root of each side:
a = {0}
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