0=35x-54-6x^2

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Solution for 0=35x-54-6x^2 equation:


Simplifying
0 = 35x + -54 + -6x2

Reorder the terms:
0 = -54 + 35x + -6x2

Solving
0 = -54 + 35x + -6x2

Solving for variable 'x'.

Combine like terms: 0 + 54 = 54
54 + -35x + 6x2 = -54 + 35x + -6x2 + 54 + -35x + 6x2

Reorder the terms:
54 + -35x + 6x2 = -54 + 54 + 35x + -35x + -6x2 + 6x2

Combine like terms: -54 + 54 = 0
54 + -35x + 6x2 = 0 + 35x + -35x + -6x2 + 6x2
54 + -35x + 6x2 = 35x + -35x + -6x2 + 6x2

Combine like terms: 35x + -35x = 0
54 + -35x + 6x2 = 0 + -6x2 + 6x2
54 + -35x + 6x2 = -6x2 + 6x2

Combine like terms: -6x2 + 6x2 = 0
54 + -35x + 6x2 = 0

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

Divide each side by '6'.
9 + -5.833333333x + x2 = 0

Move the constant term to the right:

Add '-9' to each side of the equation.
9 + -5.833333333x + -9 + x2 = 0 + -9

Reorder the terms:
9 + -9 + -5.833333333x + x2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -5.833333333x + x2 = 0 + -9
-5.833333333x + x2 = 0 + -9

Combine like terms: 0 + -9 = -9
-5.833333333x + x2 = -9

The x term is -5.833333333x.  Take half its coefficient (-2.916666667).
Square it (8.506944446) and add it to both sides.

Add '8.506944446' to each side of the equation.
-5.833333333x + 8.506944446 + x2 = -9 + 8.506944446

Reorder the terms:
8.506944446 + -5.833333333x + x2 = -9 + 8.506944446

Combine like terms: -9 + 8.506944446 = -0.493055554
8.506944446 + -5.833333333x + x2 = -0.493055554

Factor a perfect square on the left side:
(x + -2.916666667)(x + -2.916666667) = -0.493055554

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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