7x^2+4=x

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


Simplifying
7x2 + 4 = x

Reorder the terms:
4 + 7x2 = x

Solving
4 + 7x2 = x

Solving for variable 'x'.

Reorder the terms:
4 + -1x + 7x2 = x + -1x

Combine like terms: x + -1x = 0
4 + -1x + 7x2 = 0

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

Divide each side by '7'.
0.5714285714 + -0.1428571429x + x2 = 0

Move the constant term to the right:

Add '-0.5714285714' to each side of the equation.
0.5714285714 + -0.1428571429x + -0.5714285714 + x2 = 0 + -0.5714285714

Reorder the terms:
0.5714285714 + -0.5714285714 + -0.1428571429x + x2 = 0 + -0.5714285714

Combine like terms: 0.5714285714 + -0.5714285714 = 0.0000000000
0.0000000000 + -0.1428571429x + x2 = 0 + -0.5714285714
-0.1428571429x + x2 = 0 + -0.5714285714

Combine like terms: 0 + -0.5714285714 = -0.5714285714
-0.1428571429x + x2 = -0.5714285714

The x term is -0.1428571429x.  Take half its coefficient (-0.07142857145).
Square it (0.005102040819) and add it to both sides.

Add '0.005102040819' to each side of the equation.
-0.1428571429x + 0.005102040819 + x2 = -0.5714285714 + 0.005102040819

Reorder the terms:
0.005102040819 + -0.1428571429x + x2 = -0.5714285714 + 0.005102040819

Combine like terms: -0.5714285714 + 0.005102040819 = -0.566326530581
0.005102040819 + -0.1428571429x + x2 = -0.566326530581

Factor a perfect square on the left side:
(x + -0.07142857145)(x + -0.07142857145) = -0.566326530581

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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