7x^2-17x+70=0

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Solution for 7x^2-17x+70=0 equation:


Simplifying
7x2 + -17x + 70 = 0

Reorder the terms:
70 + -17x + 7x2 = 0

Solving
70 + -17x + 7x2 = 0

Solving for variable 'x'.

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

Divide each side by '7'.
10 + -2.428571429x + x2 = 0

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + -2.428571429x + -10 + x2 = 0 + -10

Reorder the terms:
10 + -10 + -2.428571429x + x2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -2.428571429x + x2 = 0 + -10
-2.428571429x + x2 = 0 + -10

Combine like terms: 0 + -10 = -10
-2.428571429x + x2 = -10

The x term is -2.428571429x.  Take half its coefficient (-1.214285715).
Square it (1.474489798) and add it to both sides.

Add '1.474489798' to each side of the equation.
-2.428571429x + 1.474489798 + x2 = -10 + 1.474489798

Reorder the terms:
1.474489798 + -2.428571429x + x2 = -10 + 1.474489798

Combine like terms: -10 + 1.474489798 = -8.525510202
1.474489798 + -2.428571429x + x2 = -8.525510202

Factor a perfect square on the left side:
(x + -1.214285715)(x + -1.214285715) = -8.525510202

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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