6x^2+4=7x

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Solution for 6x^2+4=7x equation: 


Simplifying
6x2 + 4 = 7x

Reorder the terms:
4 + 6x2 = 7x

Solving
4 + 6x2 = 7x

Solving for variable 'x'.

Reorder the terms:
4 + -7x + 6x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
4 + -7x + 6x2 = 0

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

Divide each side by '6'.
0.6666666667 + -1.166666667x + x2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + -1.166666667x + -0.6666666667 + x2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + -1.166666667x + x2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + -1.166666667x + x2 = 0 + -0.6666666667
-1.166666667x + x2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
-1.166666667x + x2 = -0.6666666667

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 = -0.6666666667 + 0.3402777780

Reorder the terms:
0.3402777780 + -1.166666667x + x2 = -0.6666666667 + 0.3402777780

Combine like terms: -0.6666666667 + 0.3402777780 = -0.3263888887
0.3402777780 + -1.166666667x + x2 = -0.3263888887

Factor a perfect square on the left side:
(x + -0.5833333335)(x + -0.5833333335) = -0.3263888887

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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