6x^2+10x+3=6x-8

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Solution for 6x^2+10x+3=6x-8 equation: 


Simplifying
6x2 + 10x + 3 = 6x + -8

Reorder the terms:
3 + 10x + 6x2 = 6x + -8

Reorder the terms:
3 + 10x + 6x2 = -8 + 6x

Solving
3 + 10x + 6x2 = -8 + 6x

Solving for variable 'x'.

Reorder the terms:
3 + 8 + 10x + -6x + 6x2 = -8 + 6x + 8 + -6x

Combine like terms: 3 + 8 = 11
11 + 10x + -6x + 6x2 = -8 + 6x + 8 + -6x

Combine like terms: 10x + -6x = 4x
11 + 4x + 6x2 = -8 + 6x + 8 + -6x

Reorder the terms:
11 + 4x + 6x2 = -8 + 8 + 6x + -6x

Combine like terms: -8 + 8 = 0
11 + 4x + 6x2 = 0 + 6x + -6x
11 + 4x + 6x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
11 + 4x + 6x2 = 0

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

Divide each side by '6'.
1.833333333 + 0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-1.833333333' to each side of the equation.
1.833333333 + 0.6666666667x + -1.833333333 + x2 = 0 + -1.833333333

Reorder the terms:
1.833333333 + -1.833333333 + 0.6666666667x + x2 = 0 + -1.833333333

Combine like terms: 1.833333333 + -1.833333333 = 0.000000000
0.000000000 + 0.6666666667x + x2 = 0 + -1.833333333
0.6666666667x + x2 = 0 + -1.833333333

Combine like terms: 0 + -1.833333333 = -1.833333333
0.6666666667x + x2 = -1.833333333

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 = -1.833333333 + 0.1111111112

Reorder the terms:
0.1111111112 + 0.6666666667x + x2 = -1.833333333 + 0.1111111112

Combine like terms: -1.833333333 + 0.1111111112 = -1.7222222218
0.1111111112 + 0.6666666667x + x2 = -1.7222222218

Factor a perfect square on the left side:
(x + 0.3333333334)(x + 0.3333333334) = -1.7222222218

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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