18x^2-x+75=0

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Solution for 18x^2-x+75=0 equation:


Simplifying
18x2 + -1x + 75 = 0

Reorder the terms:
75 + -1x + 18x2 = 0

Solving
75 + -1x + 18x2 = 0

Solving for variable 'x'.

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

Divide each side by '18'.
4.166666667 + -0.05555555556x + x2 = 0

Move the constant term to the right:

Add '-4.166666667' to each side of the equation.
4.166666667 + -0.05555555556x + -4.166666667 + x2 = 0 + -4.166666667

Reorder the terms:
4.166666667 + -4.166666667 + -0.05555555556x + x2 = 0 + -4.166666667

Combine like terms: 4.166666667 + -4.166666667 = 0.000000000
0.000000000 + -0.05555555556x + x2 = 0 + -4.166666667
-0.05555555556x + x2 = 0 + -4.166666667

Combine like terms: 0 + -4.166666667 = -4.166666667
-0.05555555556x + x2 = -4.166666667

The x term is -0.05555555556x.  Take half its coefficient (-0.02777777778).
Square it (0.0007716049384) and add it to both sides.

Add '0.0007716049384' to each side of the equation.
-0.05555555556x + 0.0007716049384 + x2 = -4.166666667 + 0.0007716049384

Reorder the terms:
0.0007716049384 + -0.05555555556x + x2 = -4.166666667 + 0.0007716049384

Combine like terms: -4.166666667 + 0.0007716049384 = -4.1658950620616
0.0007716049384 + -0.05555555556x + x2 = -4.1658950620616

Factor a perfect square on the left side:
(x + -0.02777777778)(x + -0.02777777778) = -4.1658950620616

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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