4x-37=12x^2+2

Solution for 4x-37=12x^2+2 equation:

Simplifying
4x + -37 = 12x2 + 2

Reorder the terms:
-37 + 4x = 12x2 + 2

Reorder the terms:
-37 + 4x = 2 + 12x2

Solving
-37 + 4x = 2 + 12x2

Solving for variable 'x'.

Reorder the terms:
-37 + -2 + 4x + -12x2 = 2 + 12x2 + -2 + -12x2

Combine like terms: -37 + -2 = -39
-39 + 4x + -12x2 = 2 + 12x2 + -2 + -12x2

Reorder the terms:
-39 + 4x + -12x2 = 2 + -2 + 12x2 + -12x2

Combine like terms: 2 + -2 = 0
-39 + 4x + -12x2 = 0 + 12x2 + -12x2
-39 + 4x + -12x2 = 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
-39 + 4x + -12x2 = 0

Begin completing the square.  Divide all terms by
-12 the coefficient of the squared term: 

Divide each side by '-12'.
3.25 + -0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-3.25' to each side of the equation.
3.25 + -0.3333333333x + -3.25 + x2 = 0 + -3.25

Reorder the terms:
3.25 + -3.25 + -0.3333333333x + x2 = 0 + -3.25

Combine like terms: 3.25 + -3.25 = 0.00
0.00 + -0.3333333333x + x2 = 0 + -3.25
-0.3333333333x + x2 = 0 + -3.25

Combine like terms: 0 + -3.25 = -3.25
-0.3333333333x + x2 = -3.25

The x term is -0.3333333333x.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333x + 0.02777777779 + x2 = -3.25 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333x + x2 = -3.25 + 0.02777777779

Combine like terms: -3.25 + 0.02777777779 = -3.22222222221
0.02777777779 + -0.3333333333x + x2 = -3.22222222221

Factor a perfect square on the left side:
(x + -0.1666666667)(x + -0.1666666667) = -3.22222222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.