7x^2-4x+80=0

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Solution for 7x^2-4x+80=0 equation:


Simplifying
7x2 + -4x + 80 = 0

Reorder the terms:
80 + -4x + 7x2 = 0

Solving
80 + -4x + 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'.
11.42857143 + -0.5714285714x + x2 = 0

Move the constant term to the right:

Add '-11.42857143' to each side of the equation.
11.42857143 + -0.5714285714x + -11.42857143 + x2 = 0 + -11.42857143

Reorder the terms:
11.42857143 + -11.42857143 + -0.5714285714x + x2 = 0 + -11.42857143

Combine like terms: 11.42857143 + -11.42857143 = 0.00000000
0.00000000 + -0.5714285714x + x2 = 0 + -11.42857143
-0.5714285714x + x2 = 0 + -11.42857143

Combine like terms: 0 + -11.42857143 = -11.42857143
-0.5714285714x + x2 = -11.42857143

The x term is -0.5714285714x.  Take half its coefficient (-0.2857142857).
Square it (0.08163265305) and add it to both sides.

Add '0.08163265305' to each side of the equation.
-0.5714285714x + 0.08163265305 + x2 = -11.42857143 + 0.08163265305

Reorder the terms:
0.08163265305 + -0.5714285714x + x2 = -11.42857143 + 0.08163265305

Combine like terms: -11.42857143 + 0.08163265305 = -11.34693877695
0.08163265305 + -0.5714285714x + x2 = -11.34693877695

Factor a perfect square on the left side:
(x + -0.2857142857)(x + -0.2857142857) = -11.34693877695

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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