x-6=15x^2

Solution for x-6=15x^2 equation:

Simplifying
x + -6 = 15x2

Reorder the terms:
-6 + x = 15x2

Solving
-6 + x = 15x2

Solving for variable 'x'.

Combine like terms: 15x2 + -15x2 = 0
-6 + x + -15x2 = 0

Begin completing the square.  Divide all terms by
-15 the coefficient of the squared term: 

Divide each side by '-15'.
0.4 + -0.06666666667x + x2 = 0

Move the constant term to the right:

Add '-0.4' to each side of the equation.
0.4 + -0.06666666667x + -0.4 + x2 = 0 + -0.4

Reorder the terms:
0.4 + -0.4 + -0.06666666667x + x2 = 0 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + -0.06666666667x + x2 = 0 + -0.4
-0.06666666667x + x2 = 0 + -0.4

Combine like terms: 0 + -0.4 = -0.4
-0.06666666667x + x2 = -0.4

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-0.06666666667x + 0.25 + x2 = -0.4 + 0.25

Reorder the terms:
0.25 + -0.06666666667x + x2 = -0.4 + 0.25

Combine like terms: -0.4 + 0.25 = -0.15
0.25 + -0.06666666667x + x2 = -0.15

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -0.15

Can't calculate square root of the right side.

The solution to this equation could not be determined.