a^2-4a=-24

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Solution for a^2-4a=-24 equation:


Simplifying
a2 + -4a = -24

Reorder the terms:
-4a + a2 = -24

Solving
-4a + a2 = -24

Solving for variable 'a'.

Reorder the terms:
24 + -4a + a2 = -24 + 24

Combine like terms: -24 + 24 = 0
24 + -4a + a2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-24' to each side of the equation.
24 + -4a + -24 + a2 = 0 + -24

Reorder the terms:
24 + -24 + -4a + a2 = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -4a + a2 = 0 + -24
-4a + a2 = 0 + -24

Combine like terms: 0 + -24 = -24
-4a + a2 = -24

The a term is -4a.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4a + 4 + a2 = -24 + 4

Reorder the terms:
4 + -4a + a2 = -24 + 4

Combine like terms: -24 + 4 = -20
4 + -4a + a2 = -20

Factor a perfect square on the left side:
(a + -2)(a + -2) = -20

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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