36a^2-a+288=

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Solution for 36a^2-a+288= equation:


Simplifying
36a2 + -1a + 288 = 0

Reorder the terms:
288 + -1a + 36a2 = 0

Solving
288 + -1a + 36a2 = 0

Solving for variable 'a'.

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

Divide each side by '36'.
8 + -0.02777777778a + a2 = 0

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + -0.02777777778a + -8 + a2 = 0 + -8

Reorder the terms:
8 + -8 + -0.02777777778a + a2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -0.02777777778a + a2 = 0 + -8
-0.02777777778a + a2 = 0 + -8

Combine like terms: 0 + -8 = -8
-0.02777777778a + a2 = -8

The a term is -0.02777777778a.  Take half its coefficient (-0.01388888889).
Square it (0.0001929012346) and add it to both sides.

Add '0.0001929012346' to each side of the equation.
-0.02777777778a + 0.0001929012346 + a2 = -8 + 0.0001929012346

Reorder the terms:
0.0001929012346 + -0.02777777778a + a2 = -8 + 0.0001929012346

Combine like terms: -8 + 0.0001929012346 = -7.9998070987654
0.0001929012346 + -0.02777777778a + a2 = -7.9998070987654

Factor a perfect square on the left side:
(a + -0.01388888889)(a + -0.01388888889) = -7.9998070987654

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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