7x^2+6x+78=

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Solution for 7x^2+6x+78= equation:


Simplifying
7x2 + 6x + 78 = 0

Reorder the terms:
78 + 6x + 7x2 = 0

Solving
78 + 6x + 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'.
11.14285714 + 0.8571428571x + x2 = 0

Move the constant term to the right:

Add '-11.14285714' to each side of the equation.
11.14285714 + 0.8571428571x + -11.14285714 + x2 = 0 + -11.14285714

Reorder the terms:
11.14285714 + -11.14285714 + 0.8571428571x + x2 = 0 + -11.14285714

Combine like terms: 11.14285714 + -11.14285714 = 0.00000000
0.00000000 + 0.8571428571x + x2 = 0 + -11.14285714
0.8571428571x + x2 = 0 + -11.14285714

Combine like terms: 0 + -11.14285714 = -11.14285714
0.8571428571x + x2 = -11.14285714

The x term is 0.8571428571x.  Take half its coefficient (0.4285714286).
Square it (0.1836734694) and add it to both sides.

Add '0.1836734694' to each side of the equation.
0.8571428571x + 0.1836734694 + x2 = -11.14285714 + 0.1836734694

Reorder the terms:
0.1836734694 + 0.8571428571x + x2 = -11.14285714 + 0.1836734694

Combine like terms: -11.14285714 + 0.1836734694 = -10.9591836706
0.1836734694 + 0.8571428571x + x2 = -10.9591836706

Factor a perfect square on the left side:
(x + 0.4285714286)(x + 0.4285714286) = -10.9591836706

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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