3a^2+8a-24a+64=0

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Solution for 3a^2+8a-24a+64=0 equation: 


Simplifying
3a2 + 8a + -24a + 64 = 0

Reorder the terms:
64 + 8a + -24a + 3a2 = 0

Combine like terms: 8a + -24a = -16a
64 + -16a + 3a2 = 0

Solving
64 + -16a + 3a2 = 0

Solving for variable 'a'.

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
21.33333333 + -5.333333333a + a2 = 0

Move the constant term to the right:

Add '-21.33333333' to each side of the equation.
21.33333333 + -5.333333333a + -21.33333333 + a2 = 0 + -21.33333333

Reorder the terms:
21.33333333 + -21.33333333 + -5.333333333a + a2 = 0 + -21.33333333

Combine like terms: 21.33333333 + -21.33333333 = 0.00000000
0.00000000 + -5.333333333a + a2 = 0 + -21.33333333
-5.333333333a + a2 = 0 + -21.33333333

Combine like terms: 0 + -21.33333333 = -21.33333333
-5.333333333a + a2 = -21.33333333

The a term is -5.333333333a.  Take half its coefficient (-2.666666667).
Square it (7.111111113) and add it to both sides.

Add '7.111111113' to each side of the equation.
-5.333333333a + 7.111111113 + a2 = -21.33333333 + 7.111111113

Reorder the terms:
7.111111113 + -5.333333333a + a2 = -21.33333333 + 7.111111113

Combine like terms: -21.33333333 + 7.111111113 = -14.222222217
7.111111113 + -5.333333333a + a2 = -14.222222217

Factor a perfect square on the left side:
(a + -2.666666667)(a + -2.666666667) = -14.222222217

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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