6x^2+35x+48=-14-36

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Solution for 6x^2+35x+48=-14-36 equation: 


Simplifying
6x2 + 35x + 48 = -14 + -36

Reorder the terms:
48 + 35x + 6x2 = -14 + -36

Combine like terms: -14 + -36 = -50
48 + 35x + 6x2 = -50

Solving
48 + 35x + 6x2 = -50

Solving for variable 'x'.

Reorder the terms:
48 + 50 + 35x + 6x2 = -50 + 50

Combine like terms: 48 + 50 = 98
98 + 35x + 6x2 = -50 + 50

Combine like terms: -50 + 50 = 0
98 + 35x + 6x2 = 0

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

Divide each side by '6'.
16.33333333 + 5.833333333x + x2 = 0

Move the constant term to the right:

Add '-16.33333333' to each side of the equation.
16.33333333 + 5.833333333x + -16.33333333 + x2 = 0 + -16.33333333

Reorder the terms:
16.33333333 + -16.33333333 + 5.833333333x + x2 = 0 + -16.33333333

Combine like terms: 16.33333333 + -16.33333333 = 0.00000000
0.00000000 + 5.833333333x + x2 = 0 + -16.33333333
5.833333333x + x2 = 0 + -16.33333333

Combine like terms: 0 + -16.33333333 = -16.33333333
5.833333333x + x2 = -16.33333333

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 = -16.33333333 + 8.506944446

Reorder the terms:
8.506944446 + 5.833333333x + x2 = -16.33333333 + 8.506944446

Combine like terms: -16.33333333 + 8.506944446 = -7.826388884
8.506944446 + 5.833333333x + x2 = -7.826388884

Factor a perfect square on the left side:
(x + 2.916666667)(x + 2.916666667) = -7.826388884

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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