2x^2-7x+108=0

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Solution for 2x^2-7x+108=0 equation:


Simplifying
2x2 + -7x + 108 = 0

Reorder the terms:
108 + -7x + 2x2 = 0

Solving
108 + -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'.
54 + -3.5x + x2 = 0

Move the constant term to the right:

Add '-54' to each side of the equation.
54 + -3.5x + -54 + x2 = 0 + -54

Reorder the terms:
54 + -54 + -3.5x + x2 = 0 + -54

Combine like terms: 54 + -54 = 0
0 + -3.5x + x2 = 0 + -54
-3.5x + x2 = 0 + -54

Combine like terms: 0 + -54 = -54
-3.5x + x2 = -54

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 = -54 + 3.0625

Reorder the terms:
3.0625 + -3.5x + x2 = -54 + 3.0625

Combine like terms: -54 + 3.0625 = -50.9375
3.0625 + -3.5x + x2 = -50.9375

Factor a perfect square on the left side:
(x + -1.75)(x + -1.75) = -50.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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