x(x+6)=8x^2+5

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Solution for x(x+6)=8x^2+5 equation: 


Simplifying
x(x + 6) = 8x2 + 5

Reorder the terms:
x(6 + x) = 8x2 + 5
(6 * x + x * x) = 8x2 + 5
(6x + x2) = 8x2 + 5

Reorder the terms:
6x + x2 = 5 + 8x2

Solving
6x + x2 = 5 + 8x2

Solving for variable 'x'.

Reorder the terms:
-5 + 6x + x2 + -8x2 = 5 + 8x2 + -5 + -8x2

Combine like terms: x2 + -8x2 = -7x2
-5 + 6x + -7x2 = 5 + 8x2 + -5 + -8x2

Reorder the terms:
-5 + 6x + -7x2 = 5 + -5 + 8x2 + -8x2

Combine like terms: 5 + -5 = 0
-5 + 6x + -7x2 = 0 + 8x2 + -8x2
-5 + 6x + -7x2 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-5 + 6x + -7x2 = 0

Begin completing the square.  Divide all terms by
-7 the coefficient of the squared term: 

Divide each side by '-7'.
0.7142857143 + -0.8571428571x + x2 = 0

Move the constant term to the right:

Add '-0.7142857143' to each side of the equation.
0.7142857143 + -0.8571428571x + -0.7142857143 + x2 = 0 + -0.7142857143

Reorder the terms:
0.7142857143 + -0.7142857143 + -0.8571428571x + x2 = 0 + -0.7142857143

Combine like terms: 0.7142857143 + -0.7142857143 = 0.0000000000
0.0000000000 + -0.8571428571x + x2 = 0 + -0.7142857143
-0.8571428571x + x2 = 0 + -0.7142857143

Combine like terms: 0 + -0.7142857143 = -0.7142857143
-0.8571428571x + x2 = -0.7142857143

The x term is -0.8571428571x.  Take half its coefficient (-0.4285714286).
Square it (0.1836734694) and add it to both sides.

Add '0.1836734694' to each side of the equation.
-0.8571428571x + 0.1836734694 + x2 = -0.7142857143 + 0.1836734694

Reorder the terms:
0.1836734694 + -0.8571428571x + x2 = -0.7142857143 + 0.1836734694

Combine like terms: -0.7142857143 + 0.1836734694 = -0.5306122449
0.1836734694 + -0.8571428571x + x2 = -0.5306122449

Factor a perfect square on the left side:
(x + -0.4285714286)(x + -0.4285714286) = -0.5306122449

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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