4x-1=30x^2

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Solution for 4x-1=30x^2 equation: 


Simplifying
4x + -1 = 30x2

Reorder the terms:
-1 + 4x = 30x2

Solving
-1 + 4x = 30x2

Solving for variable 'x'.

Combine like terms: 30x2 + -30x2 = 0
-1 + 4x + -30x2 = 0

Begin completing the square.  Divide all terms by
-30 the coefficient of the squared term: 

Divide each side by '-30'.
0.03333333333 + -0.1333333333x + x2 = 0

Move the constant term to the right:

Add '-0.03333333333' to each side of the equation.
0.03333333333 + -0.1333333333x + -0.03333333333 + x2 = 0 + -0.03333333333

Reorder the terms:
0.03333333333 + -0.03333333333 + -0.1333333333x + x2 = 0 + -0.03333333333

Combine like terms: 0.03333333333 + -0.03333333333 = 0.00000000000
0.00000000000 + -0.1333333333x + x2 = 0 + -0.03333333333
-0.1333333333x + x2 = 0 + -0.03333333333

Combine like terms: 0 + -0.03333333333 = -0.03333333333
-0.1333333333x + x2 = -0.03333333333

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 = -0.03333333333 + 0.004444444442

Reorder the terms:
0.004444444442 + -0.1333333333x + x2 = -0.03333333333 + 0.004444444442

Combine like terms: -0.03333333333 + 0.004444444442 = -0.028888888888
0.004444444442 + -0.1333333333x + x2 = -0.028888888888

Factor a perfect square on the left side:
(x + -0.06666666665)(x + -0.06666666665) = -0.028888888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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