15x^2=2x-1

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Solution for 15x^2=2x-1 equation: 


Simplifying
15x2 = 2x + -1

Reorder the terms:
15x2 = -1 + 2x

Solving
15x2 = -1 + 2x

Solving for variable 'x'.

Reorder the terms:
1 + -2x + 15x2 = -1 + 2x + 1 + -2x

Reorder the terms:
1 + -2x + 15x2 = -1 + 1 + 2x + -2x

Combine like terms: -1 + 1 = 0
1 + -2x + 15x2 = 0 + 2x + -2x
1 + -2x + 15x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
1 + -2x + 15x2 = 0

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

Divide each side by '15'.
0.06666666667 + -0.1333333333x + x2 = 0

Move the constant term to the right:

Add '-0.06666666667' to each side of the equation.
0.06666666667 + -0.1333333333x + -0.06666666667 + x2 = 0 + -0.06666666667

Reorder the terms:
0.06666666667 + -0.06666666667 + -0.1333333333x + x2 = 0 + -0.06666666667

Combine like terms: 0.06666666667 + -0.06666666667 = 0.00000000000
0.00000000000 + -0.1333333333x + x2 = 0 + -0.06666666667
-0.1333333333x + x2 = 0 + -0.06666666667

Combine like terms: 0 + -0.06666666667 = -0.06666666667
-0.1333333333x + x2 = -0.06666666667

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 = -0.06666666667 + 0.004444444442

Reorder the terms:
0.004444444442 + -0.1333333333x + x2 = -0.06666666667 + 0.004444444442

Combine like terms: -0.06666666667 + 0.004444444442 = -0.062222222228
0.004444444442 + -0.1333333333x + x2 = -0.062222222228

Factor a perfect square on the left side:
(x + -0.06666666665)(x + -0.06666666665) = -0.062222222228

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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