x(6x-2)+7(x+9)=1

Solution for x(6x-2)+7(x+9)=1 equation:

Simplifying
x(6x + -2) + 7(x + 9) = 1

Reorder the terms:
x(-2 + 6x) + 7(x + 9) = 1
(-2 * x + 6x * x) + 7(x + 9) = 1
(-2x + 6x2) + 7(x + 9) = 1

Reorder the terms:
-2x + 6x2 + 7(9 + x) = 1
-2x + 6x2 + (9 * 7 + x * 7) = 1
-2x + 6x2 + (63 + 7x) = 1

Reorder the terms:
63 + -2x + 7x + 6x2 = 1

Combine like terms: -2x + 7x = 5x
63 + 5x + 6x2 = 1

Solving
63 + 5x + 6x2 = 1

Solving for variable 'x'.

Reorder the terms:
63 + -1 + 5x + 6x2 = 1 + -1

Combine like terms: 63 + -1 = 62
62 + 5x + 6x2 = 1 + -1

Combine like terms: 1 + -1 = 0
62 + 5x + 6x2 = 0

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

Divide each side by '6'.
10.33333333 + 0.8333333333x + x2 = 0

Move the constant term to the right:

Add '-10.33333333' to each side of the equation.
10.33333333 + 0.8333333333x + -10.33333333 + x2 = 0 + -10.33333333

Reorder the terms:
10.33333333 + -10.33333333 + 0.8333333333x + x2 = 0 + -10.33333333

Combine like terms: 10.33333333 + -10.33333333 = 0.00000000
0.00000000 + 0.8333333333x + x2 = 0 + -10.33333333
0.8333333333x + x2 = 0 + -10.33333333

Combine like terms: 0 + -10.33333333 = -10.33333333
0.8333333333x + x2 = -10.33333333

The x term is 0.8333333333x.  Take half its coefficient (0.4166666667).
Square it (0.1736111111) and add it to both sides.

Add '0.1736111111' to each side of the equation.
0.8333333333x + 0.1736111111 + x2 = -10.33333333 + 0.1736111111

Reorder the terms:
0.1736111111 + 0.8333333333x + x2 = -10.33333333 + 0.1736111111

Combine like terms: -10.33333333 + 0.1736111111 = -10.1597222189
0.1736111111 + 0.8333333333x + x2 = -10.1597222189

Factor a perfect square on the left side:
(x + 0.4166666667)(x + 0.4166666667) = -10.1597222189

Can't calculate square root of the right side.

The solution to this equation could not be determined.