2x(1-7x)-4=0

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Solution for 2x(1-7x)-4=0 equation: 


Simplifying
2x(1 + -7x) + -4 = 0
(1 * 2x + -7x * 2x) + -4 = 0
(2x + -14x2) + -4 = 0

Reorder the terms:
-4 + 2x + -14x2 = 0

Solving
-4 + 2x + -14x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + x + -7x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-2 + x + -7x2)' equal to zero and attempt to solve:

Simplifying
-2 + x + -7x2 = 0

Solving
-2 + x + -7x2 = 0

Begin completing the square.  Divide all terms by
-7 the coefficient of the squared term: 

Divide each side by '-7'.
0.2857142857 + -0.1428571429x + x2 = 0

Move the constant term to the right:

Add '-0.2857142857' to each side of the equation.
0.2857142857 + -0.1428571429x + -0.2857142857 + x2 = 0 + -0.2857142857

Reorder the terms:
0.2857142857 + -0.2857142857 + -0.1428571429x + x2 = 0 + -0.2857142857

Combine like terms: 0.2857142857 + -0.2857142857 = 0.0000000000
0.0000000000 + -0.1428571429x + x2 = 0 + -0.2857142857
-0.1428571429x + x2 = 0 + -0.2857142857

Combine like terms: 0 + -0.2857142857 = -0.2857142857
-0.1428571429x + x2 = -0.2857142857

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-0.1428571429x + 0.25 + x2 = -0.2857142857 + 0.25

Reorder the terms:
0.25 + -0.1428571429x + x2 = -0.2857142857 + 0.25

Combine like terms: -0.2857142857 + 0.25 = -0.0357142857
0.25 + -0.1428571429x + x2 = -0.0357142857

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -0.0357142857

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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