2x^2-7x+111=0

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Solution for 2x^2-7x+111=0 equation:


Simplifying
2x2 + -7x + 111 = 0

Reorder the terms:
111 + -7x + 2x2 = 0

Solving
111 + -7x + 2x2 = 0

Solving for variable 'x'.

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

Divide each side by '2'.
55.5 + -3.5x + x2 = 0

Move the constant term to the right:

Add '-55.5' to each side of the equation.
55.5 + -3.5x + -55.5 + x2 = 0 + -55.5

Reorder the terms:
55.5 + -55.5 + -3.5x + x2 = 0 + -55.5

Combine like terms: 55.5 + -55.5 = 0.0
0.0 + -3.5x + x2 = 0 + -55.5
-3.5x + x2 = 0 + -55.5

Combine like terms: 0 + -55.5 = -55.5
-3.5x + x2 = -55.5

The x term is -3.5x.  Take half its coefficient (-1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
-3.5x + 3.0625 + x2 = -55.5 + 3.0625

Reorder the terms:
3.0625 + -3.5x + x2 = -55.5 + 3.0625

Combine like terms: -55.5 + 3.0625 = -52.4375
3.0625 + -3.5x + x2 = -52.4375

Factor a perfect square on the left side:
(x + -1.75)(x + -1.75) = -52.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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