7x^2=6x-2

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


Simplifying
7x2 = 6x + -2

Reorder the terms:
7x2 = -2 + 6x

Solving
7x2 = -2 + 6x

Solving for variable 'x'.

Reorder the terms:
2 + -6x + 7x2 = -2 + 6x + 2 + -6x

Reorder the terms:
2 + -6x + 7x2 = -2 + 2 + 6x + -6x

Combine like terms: -2 + 2 = 0
2 + -6x + 7x2 = 0 + 6x + -6x
2 + -6x + 7x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
2 + -6x + 7x2 = 0

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

Divide each side by '7'.
0.2857142857 + -0.8571428571x + x2 = 0

Move the constant term to the right:

Add '-0.2857142857' to each side of the equation.
0.2857142857 + -0.8571428571x + -0.2857142857 + x2 = 0 + -0.2857142857

Reorder the terms:
0.2857142857 + -0.2857142857 + -0.8571428571x + x2 = 0 + -0.2857142857

Combine like terms: 0.2857142857 + -0.2857142857 = 0.0000000000
0.0000000000 + -0.8571428571x + x2 = 0 + -0.2857142857
-0.8571428571x + x2 = 0 + -0.2857142857

Combine like terms: 0 + -0.2857142857 = -0.2857142857
-0.8571428571x + x2 = -0.2857142857

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 = -0.2857142857 + 0.1836734694

Reorder the terms:
0.1836734694 + -0.8571428571x + x2 = -0.2857142857 + 0.1836734694

Combine like terms: -0.2857142857 + 0.1836734694 = -0.1020408163
0.1836734694 + -0.8571428571x + x2 = -0.1020408163

Factor a perfect square on the left side:
(x + -0.4285714286)(x + -0.4285714286) = -0.1020408163

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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