7x^2-11x+150=0

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Solution for 7x^2-11x+150=0 equation:


Simplifying
7x2 + -11x + 150 = 0

Reorder the terms:
150 + -11x + 7x2 = 0

Solving
150 + -11x + 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'.
21.42857143 + -1.571428571x + x2 = 0

Move the constant term to the right:

Add '-21.42857143' to each side of the equation.
21.42857143 + -1.571428571x + -21.42857143 + x2 = 0 + -21.42857143

Reorder the terms:
21.42857143 + -21.42857143 + -1.571428571x + x2 = 0 + -21.42857143

Combine like terms: 21.42857143 + -21.42857143 = 0.00000000
0.00000000 + -1.571428571x + x2 = 0 + -21.42857143
-1.571428571x + x2 = 0 + -21.42857143

Combine like terms: 0 + -21.42857143 = -21.42857143
-1.571428571x + x2 = -21.42857143

The x term is -1.571428571x.  Take half its coefficient (-0.7857142855).
Square it (0.6173469384) and add it to both sides.

Add '0.6173469384' to each side of the equation.
-1.571428571x + 0.6173469384 + x2 = -21.42857143 + 0.6173469384

Reorder the terms:
0.6173469384 + -1.571428571x + x2 = -21.42857143 + 0.6173469384

Combine like terms: -21.42857143 + 0.6173469384 = -20.8112244916
0.6173469384 + -1.571428571x + x2 = -20.8112244916

Factor a perfect square on the left side:
(x + -0.7857142855)(x + -0.7857142855) = -20.8112244916

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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