a^2+8a+48=0

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Solution for a^2+8a+48=0 equation:


Simplifying
a2 + 8a + 48 = 0

Reorder the terms:
48 + 8a + a2 = 0

Solving
48 + 8a + a2 = 0

Solving for variable 'a'.

Begin completing the square.

Move the constant term to the right:

Add '-48' to each side of the equation.
48 + 8a + -48 + a2 = 0 + -48

Reorder the terms:
48 + -48 + 8a + a2 = 0 + -48

Combine like terms: 48 + -48 = 0
0 + 8a + a2 = 0 + -48
8a + a2 = 0 + -48

Combine like terms: 0 + -48 = -48
8a + a2 = -48

The a term is 8a.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8a + 16 + a2 = -48 + 16

Reorder the terms:
16 + 8a + a2 = -48 + 16

Combine like terms: -48 + 16 = -32
16 + 8a + a2 = -32

Factor a perfect square on the left side:
(a + 4)(a + 4) = -32

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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