3x^2+2x+54=8

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Solution for 3x^2+2x+54=8 equation: 


Simplifying
3x2 + 2x + 54 = 8

Reorder the terms:
54 + 2x + 3x2 = 8

Solving
54 + 2x + 3x2 = 8

Solving for variable 'x'.

Reorder the terms:
54 + -8 + 2x + 3x2 = 8 + -8

Combine like terms: 54 + -8 = 46
46 + 2x + 3x2 = 8 + -8

Combine like terms: 8 + -8 = 0
46 + 2x + 3x2 = 0

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

Divide each side by '3'.
15.33333333 + 0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-15.33333333' to each side of the equation.
15.33333333 + 0.6666666667x + -15.33333333 + x2 = 0 + -15.33333333

Reorder the terms:
15.33333333 + -15.33333333 + 0.6666666667x + x2 = 0 + -15.33333333

Combine like terms: 15.33333333 + -15.33333333 = 0.00000000
0.00000000 + 0.6666666667x + x2 = 0 + -15.33333333
0.6666666667x + x2 = 0 + -15.33333333

Combine like terms: 0 + -15.33333333 = -15.33333333
0.6666666667x + x2 = -15.33333333

The x term is 0.6666666667x.  Take half its coefficient (0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
0.6666666667x + 0.1111111112 + x2 = -15.33333333 + 0.1111111112

Reorder the terms:
0.1111111112 + 0.6666666667x + x2 = -15.33333333 + 0.1111111112

Combine like terms: -15.33333333 + 0.1111111112 = -15.2222222188
0.1111111112 + 0.6666666667x + x2 = -15.2222222188

Factor a perfect square on the left side:
(x + 0.3333333334)(x + 0.3333333334) = -15.2222222188

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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