4x=1+15x^2

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Solution for 4x=1+15x^2 equation: 


Simplifying
4x = 1 + 15x2

Solving
4x = 1 + 15x2

Solving for variable 'x'.

Reorder the terms:
-1 + 4x + -15x2 = 1 + 15x2 + -1 + -15x2

Reorder the terms:
-1 + 4x + -15x2 = 1 + -1 + 15x2 + -15x2

Combine like terms: 1 + -1 = 0
-1 + 4x + -15x2 = 0 + 15x2 + -15x2
-1 + 4x + -15x2 = 15x2 + -15x2

Combine like terms: 15x2 + -15x2 = 0
-1 + 4x + -15x2 = 0

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

Divide each side by '-15'.
0.06666666667 + -0.2666666667x + x2 = 0

Move the constant term to the right:

Add '-0.06666666667' to each side of the equation.
0.06666666667 + -0.2666666667x + -0.06666666667 + x2 = 0 + -0.06666666667

Reorder the terms:
0.06666666667 + -0.06666666667 + -0.2666666667x + x2 = 0 + -0.06666666667

Combine like terms: 0.06666666667 + -0.06666666667 = 0.00000000000
0.00000000000 + -0.2666666667x + x2 = 0 + -0.06666666667
-0.2666666667x + x2 = 0 + -0.06666666667

Combine like terms: 0 + -0.06666666667 = -0.06666666667
-0.2666666667x + x2 = -0.06666666667

The x term is -0.2666666667x.  Take half its coefficient (-0.1333333334).
Square it (0.01777777780) and add it to both sides.

Add '0.01777777780' to each side of the equation.
-0.2666666667x + 0.01777777780 + x2 = -0.06666666667 + 0.01777777780

Reorder the terms:
0.01777777780 + -0.2666666667x + x2 = -0.06666666667 + 0.01777777780

Combine like terms: -0.06666666667 + 0.01777777780 = -0.04888888887
0.01777777780 + -0.2666666667x + x2 = -0.04888888887

Factor a perfect square on the left side:
(x + -0.1333333334)(x + -0.1333333334) = -0.04888888887

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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