2x^2-17x+70=0

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Solution for 2x^2-17x+70=0 equation:


Simplifying
2x2 + -17x + 70 = 0

Reorder the terms:
70 + -17x + 2x2 = 0

Solving
70 + -17x + 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'.
35 + -8.5x + x2 = 0

Move the constant term to the right:

Add '-35' to each side of the equation.
35 + -8.5x + -35 + x2 = 0 + -35

Reorder the terms:
35 + -35 + -8.5x + x2 = 0 + -35

Combine like terms: 35 + -35 = 0
0 + -8.5x + x2 = 0 + -35
-8.5x + x2 = 0 + -35

Combine like terms: 0 + -35 = -35
-8.5x + x2 = -35

The x term is -8.5x.  Take half its coefficient (-4.25).
Square it (18.0625) and add it to both sides.

Add '18.0625' to each side of the equation.
-8.5x + 18.0625 + x2 = -35 + 18.0625

Reorder the terms:
18.0625 + -8.5x + x2 = -35 + 18.0625

Combine like terms: -35 + 18.0625 = -16.9375
18.0625 + -8.5x + x2 = -16.9375

Factor a perfect square on the left side:
(x + -4.25)(x + -4.25) = -16.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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