45x^2+1=6x

Solution for 45x^2+1=6x equation:

Simplifying
45x2 + 1 = 6x

Reorder the terms:
1 + 45x2 = 6x

Solving
1 + 45x2 = 6x

Solving for variable 'x'.

Reorder the terms:
1 + -6x + 45x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
1 + -6x + 45x2 = 0

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

Divide each side by '45'.
0.02222222222 + -0.1333333333x + x2 = 0

Move the constant term to the right:

Add '-0.02222222222' to each side of the equation.
0.02222222222 + -0.1333333333x + -0.02222222222 + x2 = 0 + -0.02222222222

Reorder the terms:
0.02222222222 + -0.02222222222 + -0.1333333333x + x2 = 0 + -0.02222222222

Combine like terms: 0.02222222222 + -0.02222222222 = 0.00000000000
0.00000000000 + -0.1333333333x + x2 = 0 + -0.02222222222
-0.1333333333x + x2 = 0 + -0.02222222222

Combine like terms: 0 + -0.02222222222 = -0.02222222222
-0.1333333333x + x2 = -0.02222222222

The x term is -0.1333333333x.  Take half its coefficient (-0.06666666665).
Square it (0.004444444442) and add it to both sides.

Add '0.004444444442' to each side of the equation.
-0.1333333333x + 0.004444444442 + x2 = -0.02222222222 + 0.004444444442

Reorder the terms:
0.004444444442 + -0.1333333333x + x2 = -0.02222222222 + 0.004444444442

Combine like terms: -0.02222222222 + 0.004444444442 = -0.017777777778
0.004444444442 + -0.1333333333x + x2 = -0.017777777778

Factor a perfect square on the left side:
(x + -0.06666666665)(x + -0.06666666665) = -0.017777777778

Can't calculate square root of the right side.

The solution to this equation could not be determined.