72x^2-x+11=0

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Solution for 72x^2-x+11=0 equation:


Simplifying
72x2 + -1x + 11 = 0

Reorder the terms:
11 + -1x + 72x2 = 0

Solving
11 + -1x + 72x2 = 0

Solving for variable 'x'.

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

Divide each side by '72'.
0.1527777778 + -0.01388888889x + x2 = 0

Move the constant term to the right:

Add '-0.1527777778' to each side of the equation.
0.1527777778 + -0.01388888889x + -0.1527777778 + x2 = 0 + -0.1527777778

Reorder the terms:
0.1527777778 + -0.1527777778 + -0.01388888889x + x2 = 0 + -0.1527777778

Combine like terms: 0.1527777778 + -0.1527777778 = 0.0000000000
0.0000000000 + -0.01388888889x + x2 = 0 + -0.1527777778
-0.01388888889x + x2 = 0 + -0.1527777778

Combine like terms: 0 + -0.1527777778 = -0.1527777778
-0.01388888889x + x2 = -0.1527777778

The x term is -0.01388888889x.  Take half its coefficient (-0.006944444445).
Square it (0.00004822530865) and add it to both sides.

Add '0.00004822530865' to each side of the equation.
-0.01388888889x + 0.00004822530865 + x2 = -0.1527777778 + 0.00004822530865

Reorder the terms:
0.00004822530865 + -0.01388888889x + x2 = -0.1527777778 + 0.00004822530865

Combine like terms: -0.1527777778 + 0.00004822530865 = -0.15272955249135
0.00004822530865 + -0.01388888889x + x2 = -0.15272955249135

Factor a perfect square on the left side:
(x + -0.006944444445)(x + -0.006944444445) = -0.15272955249135

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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