7x^2-11x+30=0

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Solution for 7x^2-11x+30=0 equation:


Simplifying
7x2 + -11x + 30 = 0

Reorder the terms:
30 + -11x + 7x2 = 0

Solving
30 + -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'.
4.285714286 + -1.571428571x + x2 = 0

Move the constant term to the right:

Add '-4.285714286' to each side of the equation.
4.285714286 + -1.571428571x + -4.285714286 + x2 = 0 + -4.285714286

Reorder the terms:
4.285714286 + -4.285714286 + -1.571428571x + x2 = 0 + -4.285714286

Combine like terms: 4.285714286 + -4.285714286 = 0.000000000
0.000000000 + -1.571428571x + x2 = 0 + -4.285714286
-1.571428571x + x2 = 0 + -4.285714286

Combine like terms: 0 + -4.285714286 = -4.285714286
-1.571428571x + x2 = -4.285714286

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 = -4.285714286 + 0.6173469384

Reorder the terms:
0.6173469384 + -1.571428571x + x2 = -4.285714286 + 0.6173469384

Combine like terms: -4.285714286 + 0.6173469384 = -3.6683673476
0.6173469384 + -1.571428571x + x2 = -3.6683673476

Factor a perfect square on the left side:
(x + -0.7857142855)(x + -0.7857142855) = -3.6683673476

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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