a^2-2a=-4

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Solution for a^2-2a=-4 equation:


Simplifying
a2 + -2a = -4

Reorder the terms:
-2a + a2 = -4

Solving
-2a + a2 = -4

Solving for variable 'a'.

Reorder the terms:
4 + -2a + a2 = -4 + 4

Combine like terms: -4 + 4 = 0
4 + -2a + a2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + -2a + -4 + a2 = 0 + -4

Reorder the terms:
4 + -4 + -2a + a2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -2a + a2 = 0 + -4
-2a + a2 = 0 + -4

Combine like terms: 0 + -4 = -4
-2a + a2 = -4

The a term is -2a.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2a + 1 + a2 = -4 + 1

Reorder the terms:
1 + -2a + a2 = -4 + 1

Combine like terms: -4 + 1 = -3
1 + -2a + a2 = -3

Factor a perfect square on the left side:
(a + -1)(a + -1) = -3

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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