7x-6x^2=55

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Solution for 7x-6x^2=55 equation:


Simplifying
7x + -6x2 = 55

Solving
7x + -6x2 = 55

Solving for variable 'x'.

Reorder the terms:
-55 + 7x + -6x2 = 55 + -55

Combine like terms: 55 + -55 = 0
-55 + 7x + -6x2 = 0

Begin completing the square.  Divide all terms by
-6 the coefficient of the squared term: 

Divide each side by '-6'.
9.166666667 + -1.166666667x + x2 = 0

Move the constant term to the right:

Add '-9.166666667' to each side of the equation.
9.166666667 + -1.166666667x + -9.166666667 + x2 = 0 + -9.166666667

Reorder the terms:
9.166666667 + -9.166666667 + -1.166666667x + x2 = 0 + -9.166666667

Combine like terms: 9.166666667 + -9.166666667 = 0.000000000
0.000000000 + -1.166666667x + x2 = 0 + -9.166666667
-1.166666667x + x2 = 0 + -9.166666667

Combine like terms: 0 + -9.166666667 = -9.166666667
-1.166666667x + x2 = -9.166666667

The x term is -1.166666667x.  Take half its coefficient (-0.5833333335).
Square it (0.3402777780) and add it to both sides.

Add '0.3402777780' to each side of the equation.
-1.166666667x + 0.3402777780 + x2 = -9.166666667 + 0.3402777780

Reorder the terms:
0.3402777780 + -1.166666667x + x2 = -9.166666667 + 0.3402777780

Combine like terms: -9.166666667 + 0.3402777780 = -8.826388889
0.3402777780 + -1.166666667x + x2 = -8.826388889

Factor a perfect square on the left side:
(x + -0.5833333335)(x + -0.5833333335) = -8.826388889

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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